Pith Number

pith:IP57UAI7

pith:2010:IP57UAI7LOW2LPIBREHCNQRKH5

not attested not anchored not stored refs pending

On the proximity of black hole horizons: lessons from Vaidya

Ivan Booth, Jonathan Martin

arxiv:1007.1642 v3 · 2010-07-09 · 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{IP57UAI7LOW2LPIBREHCNQRKH5}

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

Cosmological coupled black holes immersed in dark sector

Receipt and verification

First computed	2026-05-18T04:30:14.202123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43fbfa011f5bada5bd01890e26c22a3f6662c30ad5b7cabda2a65b16009d9611

Aliases

arxiv: 1007.1642 · arxiv_version: 1007.1642v3 · doi: 10.48550/arxiv.1007.1642 · pith_short_12: IP57UAI7LOW2 · pith_short_16: IP57UAI7LOW2LPIB · pith_short_8: IP57UAI7

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/IP57UAI7LOW2LPIBREHCNQRKH5 \
  | 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: 43fbfa011f5bada5bd01890e26c22a3f6662c30ad5b7cabda2a65b16009d9611

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98816c47ed3e76d0bafd422595532a4410a7e388e7bbb307a3efd33120263bb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-07-09T18:33:35Z",
    "title_canon_sha256": "33fe23bfa5553978aa3480d30b21ca2d0a1d9e56ce64d81e5cd76bd05abc1e79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1642",
    "kind": "arxiv",
    "version": 3
  }
}