Pith Number

pith:VDPMOWCO

pith:2010:VDPMOWCOG4774W5US6FTJ5LTNF

not attested not anchored not stored refs pending

Quantum singularities in FRW universe revisited

Jo\~ao Paulo M. Pitelli, Patricio S. Letelier

arxiv:1008.0991 v1 · 2010-08-05 · gr-qc · 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{VDPMOWCOG4774W5US6FTJ5LTNF}

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	2026-05-18T04:41:35.683737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8dec7584e373ffe5bb4978b34f57369449f931f6ba9037cfc69becf2b97b900

Aliases

arxiv: 1008.0991 · arxiv_version: 1008.0991v1 · doi: 10.48550/arxiv.1008.0991 · pith_short_12: VDPMOWCOG477 · pith_short_16: VDPMOWCOG4774W5U · pith_short_8: VDPMOWCO

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/VDPMOWCOG4774W5US6FTJ5LTNF \
  | 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: a8dec7584e373ffe5bb4978b34f57369449f931f6ba9037cfc69becf2b97b900

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09938547a9c0b7f3d997fc74f370ca82b0619a6011d9ada0ba224608377adbb1",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-08-05T15:00:14Z",
    "title_canon_sha256": "93f01aaa16978f9eb622f694bf284aafd078e850c363a378f50eb04a915c4735"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0991",
    "kind": "arxiv",
    "version": 1
  }
}