Pith Number

pith:K4APMTAS

pith:2006:K4APMTASTLRGR2XORUSM4YBZVE

not attested not anchored not stored refs pending

Cosmic string loops in the expanding universe

Ken D. Olum, Vitaly Vanchurin

arxiv:astro-ph/0610419 v3 · 2006-10-13 · astro-ph · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4APMTASTLRGR2XORUSM4YBZVE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

3 papers in Pith

Gravitational Wave Imprints of a High-Quality Axion and the Origin of Flavor Hierarchies

Gravitational Waves from hybrid defects as probe of Flavor symmetry breaking: Machine-Learning Approach

The landscape of QCD axion models

Receipt and verification

First computed	2026-07-04T15:16:56.513653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5700f64c129ae268eaee8d24ce6039a9384e66f93d354f40ef2d2c4ad9df11b2

Aliases

arxiv: astro-ph/0610419 · arxiv_version: astro-ph/0610419v3 · doi: 10.48550/arxiv.astro-ph/0610419 · pith_short_12: K4APMTASTLRG · pith_short_16: K4APMTASTLRGR2XO · pith_short_8: K4APMTAS

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/K4APMTASTLRGR2XORUSM4YBZVE \
  | 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: 5700f64c129ae268eaee8d24ce6039a9384e66f93d354f40ef2d2c4ad9df11b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b21bb466a4064a02a0cf7cf43735852158a8e249279403a89965fe2f7c412cd",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-10-13T19:03:40Z",
    "title_canon_sha256": "ea786b0449f54e440b3d50091a9109ced320b927a5df6ed0caa3f83a357e8070"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0610419",
    "kind": "arxiv",
    "version": 3
  }
}