Pith Number

pith:4UOVQ43O

pith:2007:4UOVQ43OTT2W3AFOOU7XGMVYNP

not attested not anchored not stored refs pending

On trapped surface formation in gravitational collapse II

Pankaj S. Joshi, Rituparno Goswami

arxiv:0711.0426 v1 · 2007-11-03 · gr-qc · astro-ph · 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{4UOVQ43OTT2W3AFOOU7XGMVYNP}

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	2026-05-18T01:37:45.207094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e51d58736e9cf56d80ae753f7332b86bd8c8bc0a3dc8650a9c087072cda06562

Aliases

arxiv: 0711.0426 · arxiv_version: 0711.0426v1 · doi: 10.48550/arxiv.0711.0426 · pith_short_12: 4UOVQ43OTT2W · pith_short_16: 4UOVQ43OTT2W3AFO · pith_short_8: 4UOVQ43O

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/4UOVQ43OTT2W3AFOOU7XGMVYNP \
  | 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: e51d58736e9cf56d80ae753f7332b86bd8c8bc0a3dc8650a9c087072cda06562

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25278f945a58b3800212359d1af486c39b4f844324eff4d9a65f3881d33c55ef",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-11-03T05:02:42Z",
    "title_canon_sha256": "9c6223872566b8cd84ad2ce098cf8891d46e4e6c2a3d312a78c6cfb0b8b26fef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0426",
    "kind": "arxiv",
    "version": 1
  }
}