Pith Number

pith:NYYY47CM

pith:2004:NYYY47CMVO5WFAXNM4Y6UW45IV

not attested not anchored not stored refs pending

Spherically symmetric spacetimes with a trapped surface

Mihalis Dafermos

arxiv:gr-qc/0403032 v2 · 2004-03-08 · 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{NYYY47CMVO5WFAXNM4Y6UW45IV}

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

2 papers in Pith

Unveiling horizons in quantum critical collapse

Receipt and verification

First computed	2026-07-04T16:47:42.168465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e318e7c4cabbb6282ed6731ea5b9d455c19961ddc97e62aa8316043d14c5051

Aliases

arxiv: gr-qc/0403032 · arxiv_version: gr-qc/0403032v2 · doi: 10.48550/arxiv.gr-qc/0403032 · pith_short_12: NYYY47CMVO5W · pith_short_16: NYYY47CMVO5WFAXN · pith_short_8: NYYY47CM

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/NYYY47CMVO5WFAXNM4Y6UW45IV \
  | 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: 6e318e7c4cabbb6282ed6731ea5b9d455c19961ddc97e62aa8316043d14c5051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "190dda141eb2c948b2225d58a18344bfda698abe09086707a418b555b66ca2e8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-03-08T16:22:30Z",
    "title_canon_sha256": "076b95b968a775c9a1eeb0fb6fe492f95ae96a11be7d2fab34ff5c80204377da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0403032",
    "kind": "arxiv",
    "version": 2
  }
}