Pith Number

pith:GI5AQXIZ

pith:2010:GI5AQXIZZIF7P2MYL7LNK6QKKW

not attested not anchored not stored refs pending

Cosmic string loop distribution on all length scales and at any redshift

Christophe Ringeval, Larissa Lorenz, Mairi Sakellariadou

arxiv:1006.0931 v2 · 2010-06-04 · astro-ph.CO · gr-qc · hep-ph · 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{GI5AQXIZZIF7P2MYL7LNK6QKKW}

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

2 papers in Pith

Science Case for the Einstein Telescope

Probing High-Quality Axions with Gravitational Waves

Receipt and verification

First computed	2026-05-18T04:26:33.221878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

323a085d19ca0bf7e9985fd6d57a0a55bb28ca2b47638f32d5d372493c7ee786

Aliases

arxiv: 1006.0931 · arxiv_version: 1006.0931v2 · doi: 10.48550/arxiv.1006.0931 · pith_short_12: GI5AQXIZZIF7 · pith_short_16: GI5AQXIZZIF7P2MY · pith_short_8: GI5AQXIZ

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/GI5AQXIZZIF7P2MYL7LNK6QKKW \
  | 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: 323a085d19ca0bf7e9985fd6d57a0a55bb28ca2b47638f32d5d372493c7ee786

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "489818cf176d6c30a4e99f7f11b576ae15036986da570c3764ca0391de1cf9d2",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-06-04T16:01:38Z",
    "title_canon_sha256": "0e55d02efbfeae75f61a2348517c5424300c00c598f9df2a760843e809d31d1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0931",
    "kind": "arxiv",
    "version": 2
  }
}