Pith Number

pith:AA5TQSJP

pith:2010:AA5TQSJPQ5WTZZPCOVYJR6VBO2

not attested not anchored not stored refs pending

Singularity theorems from weakened energy conditions

Christopher J. Fewster, Gregory J. Galloway

arxiv:1012.6038 v3 · 2010-12-29 · 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{AA5TQSJPQ5WTZZPCOVYJR6VBO2}

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.

Cited by

1 paper in Pith

A Quantum Singularity Theorem for the Evaporating Black Hole

Receipt and verification

First computed	2026-05-18T03:34:59.816093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

003b38492f876d3ce5e2757098faa176aa79f34b226669e75a9ee7955e0b525c

Aliases

arxiv: 1012.6038 · arxiv_version: 1012.6038v3 · doi: 10.48550/arxiv.1012.6038 · pith_short_12: AA5TQSJPQ5WT · pith_short_16: AA5TQSJPQ5WTZZPC · pith_short_8: AA5TQSJP

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/AA5TQSJPQ5WTZZPCOVYJR6VBO2 \
  | 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: 003b38492f876d3ce5e2757098faa176aa79f34b226669e75a9ee7955e0b525c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59a01e9dad20e03980ad55dff534984b59eb93b1d60f5ff62e7a23791d94409d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-12-29T20:52:11Z",
    "title_canon_sha256": "49bd130fc66eb78dec2f45d6ca7372abe4ef1b6ec041334310f0b4ec9db05287"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.6038",
    "kind": "arxiv",
    "version": 3
  }
}