Pith Number

pith:AZDZVF4O

pith:2007:AZDZVF4ODUIQCTQH7WCKFQXNPP

not attested not anchored not stored refs pending

Emergence of a Big Bang singularity in an exact string background

Anupam Mazumdar, Shinji Hirano

arxiv:0712.2777 v2 · 2007-12-17 · hep-th · 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{AZDZVF4ODUIQCTQH7WCKFQXNPP}

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	2026-05-18T04:09:04.276187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06479a978e1d11014e07fd84a2c2ed7be3b3d71299d4adf2bff62540bdf1066a

Aliases

arxiv: 0712.2777 · arxiv_version: 0712.2777v2 · doi: 10.48550/arxiv.0712.2777 · pith_short_12: AZDZVF4ODUIQ · pith_short_16: AZDZVF4ODUIQCTQH · pith_short_8: AZDZVF4O

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/AZDZVF4ODUIQCTQH7WCKFQXNPP \
  | 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: 06479a978e1d11014e07fd84a2c2ed7be3b3d71299d4adf2bff62540bdf1066a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a17969b6f558872702b2d9a7e134566ad40d04ab93aa79987f2b15a2e7bad9ce",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-12-17T17:11:25Z",
    "title_canon_sha256": "e0ca3f7a38528bd5c9dcb6bf14f0d79ed10c3bc216cfdd14ae833f83d4178aed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.2777",
    "kind": "arxiv",
    "version": 2
  }
}