Pith Number

pith:4XJ2JA5W

pith:2011:4XJ2JA5WY5T4RQEBUE7F33NM2O

not attested not anchored not stored refs pending

Internal time, test clocks and singularity resolution in dust-filled quantum cosmology

Ian D. Lawrie

arxiv:1108.1672 v1 · 2011-08-08 · gr-qc · hep-ph · hep-th · quant-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{4XJ2JA5WY5T4RQEBUE7F33NM2O}

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	2026-05-18T02:01:00.458559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5d3a483b6c767c8c081a13e5dedacd397fc7453efb5e1c3e4434f08c2598d70

Aliases

arxiv: 1108.1672 · arxiv_version: 1108.1672v1 · doi: 10.48550/arxiv.1108.1672 · pith_short_12: 4XJ2JA5WY5T4 · pith_short_16: 4XJ2JA5WY5T4RQEB · pith_short_8: 4XJ2JA5W

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/4XJ2JA5WY5T4RQEBUE7F33NM2O \
  | 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: e5d3a483b6c767c8c081a13e5dedacd397fc7453efb5e1c3e4434f08c2598d70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "188821b4d9240fb81a9808253d09b54bf903db6530ad70e78602732899865aa9",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-08-08T10:44:32Z",
    "title_canon_sha256": "1deeb5eb8b568625d966550223b6b2c47819dc4b5cad647102e5e061286e3c67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1672",
    "kind": "arxiv",
    "version": 1
  }
}