Pith Number

pith:45TJQF7Z

pith:2013:45TJQF7ZA6LCZGUHCPTZGYEYKM

not attested not anchored not stored refs pending

The number of cosmic string loops

Benjamin Shlaer, Jose J. Blanco-Pillado, Ken D. Olum

arxiv:1309.6637 v1 · 2013-09-25 · astro-ph.CO · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45TJQF7ZA6LCZGUHCPTZGYEYKM}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

5 papers in Pith

Gravitational waves from cosmic strings with friction: analytical approximations and parameter space

Waveform Modelling for the Laser Interferometer Space Antenna

High-Quality Axion Dark Matter at Gravitational Wave Interferometers

New gravitational-wave templates for metastable cosmic strings: Loop breaking versus network collapse

Probing High-Quality Axions with Gravitational Waves

Receipt and verification

First computed	2026-05-18T03:01:35.409583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7669817f907962c9a8713e79360985326f7271b4c15f09e6ccbf0c544907c0d

Aliases

arxiv: 1309.6637 · arxiv_version: 1309.6637v1 · doi: 10.48550/arxiv.1309.6637 · pith_short_12: 45TJQF7ZA6LC · pith_short_16: 45TJQF7ZA6LCZGUH · pith_short_8: 45TJQF7Z

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/45TJQF7ZA6LCZGUHCPTZGYEYKM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e7669817f907962c9a8713e79360985326f7271b4c15f09e6ccbf0c544907c0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc962f91432295850a5038a7a382ef3e57cb3da2ecd2112fd5f4139c50f02e14",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-09-25T20:00:01Z",
    "title_canon_sha256": "9e6fccf3f017f07ce135351f2ccfa234aeab4fcb54529c6ae2f941c8935e15d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6637",
    "kind": "arxiv",
    "version": 1
  }
}