Pith Number

pith:REAFG4LP

pith:1997:REAFG4LPXCZWJSTDTVAUAIB4N3

not attested not anchored not stored refs pending

Pre-big bang model has Planck problem

D.H. Coule

arxiv:gr-qc/9712062 v1 · 1997-12-12 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{REAFG4LPXCZWJSTDTVAUAIB4N3}

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	2026-07-04T16:04:41.938898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

890053716fb8b364ca639d4140203c6ef4ffd10ce24a72b634a6a86c59107445

Aliases

arxiv: gr-qc/9712062 · arxiv_version: gr-qc/9712062v1 · doi: 10.48550/arxiv.gr-qc/9712062 · pith_short_12: REAFG4LPXCZW · pith_short_16: REAFG4LPXCZWJSTD · pith_short_8: REAFG4LP

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/REAFG4LPXCZWJSTDTVAUAIB4N3 \
  | 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: 890053716fb8b364ca639d4140203c6ef4ffd10ce24a72b634a6a86c59107445

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34dc9b346391b3a819acac27b6286c4299171660228ea6c3bb6c4b96fb4f8af9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-12-12T16:12:18Z",
    "title_canon_sha256": "38e77bfc83898bd2c648ee6a6ef882cc23048e553d5e869e42ee2bdd17c51616"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9712062",
    "kind": "arxiv",
    "version": 1
  }
}