Pith Number

pith:2X7WBSKD

pith:2021:2X7WBSKDR5BKXBM4NSV46XU7LC

not attested not anchored not stored refs pending

Big Bang Nucleosynthesis Limits and Relic Gravitational Waves Detection Prospects

Axel Brandenburg, Emma Clarke, Jonathan Stepp, Tina Kahniashvili

arxiv:2111.09541 v2 · 2021-11-18 · astro-ph.CO · 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{2X7WBSKDR5BKXBM4NSV46XU7LC}

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.

Receipt and verification

First computed	2026-07-05T04:32:52.944264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5ff60c9438f42ab859c6cabcf5e9f5891718111776535d57920ef571ae2ad42

Aliases

arxiv: 2111.09541 · arxiv_version: 2111.09541v2 · doi: 10.48550/arxiv.2111.09541 · pith_short_12: 2X7WBSKDR5BK · pith_short_16: 2X7WBSKDR5BKXBM4 · pith_short_8: 2X7WBSKD

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/2X7WBSKDR5BKXBM4NSV46XU7LC \
  | 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: d5ff60c9438f42ab859c6cabcf5e9f5891718111776535d57920ef571ae2ad42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3db43257a07863ad2a29ebd5ed8c3670443db472b4537007c4dcc91bc24ad81a",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-11-18T06:33:26Z",
    "title_canon_sha256": "338debe3310cf47fa9ba0efda84ce9d9ebbebfbe93c8511a7b520fc3a901dfc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.09541",
    "kind": "arxiv",
    "version": 2
  }
}