Pith Number

pith:57BRU6DQ

pith:2013:57BRU6DQBXTVRY2PXICKWHOMTX

not attested not anchored not stored refs pending

Trapped surfaces in Oppenheimer-Snyder black holes

Emma Jakobsson, Ingemar Bengtsson, Jos\'e M. M. Senovilla

arxiv:1306.6486 v1 · 2013-06-27 · 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{57BRU6DQBXTVRY2PXICKWHOMTX}

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	2026-05-18T03:13:12.416851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efc31a78700de758e34fba04ab1dcc9de93cb9658d9a60b7131d306717f1b647

Aliases

arxiv: 1306.6486 · arxiv_version: 1306.6486v1 · doi: 10.48550/arxiv.1306.6486 · pith_short_12: 57BRU6DQBXTV · pith_short_16: 57BRU6DQBXTVRY2P · pith_short_8: 57BRU6DQ

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/57BRU6DQBXTVRY2PXICKWHOMTX \
  | 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: efc31a78700de758e34fba04ab1dcc9de93cb9658d9a60b7131d306717f1b647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9b088d8d8eaa171adc71332bc6570996464044e1cbe09835cb9ef20b5570566",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-06-27T13:03:46Z",
    "title_canon_sha256": "b4a502672bff9590d51153bbd1ee0fdec532536d5ba6a90d6360a80e5012beeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6486",
    "kind": "arxiv",
    "version": 1
  }
}