Pith Number

pith:HZ2DG6HK

pith:2011:HZ2DG6HK7S4DIUKYGEZ3JZOFKG

not attested not anchored not stored refs pending

Kastor-Traschen Black Holes, Null Geodesics and Conformal Circles

Stephen Casey

arxiv:1110.2091 v2 · 2011-10-10 · gr-qc · hep-th · math-ph · math.DG · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZ2DG6HK7S4DIUKYGEZ3JZOFKG}

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	2026-05-18T02:00:14.196182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e743378eafcb83451583133b4e5c551948af28345c4603dfffa3194881880e6

Aliases

arxiv: 1110.2091 · arxiv_version: 1110.2091v2 · doi: 10.48550/arxiv.1110.2091 · pith_short_12: HZ2DG6HK7S4D · pith_short_16: HZ2DG6HK7S4DIUKY · pith_short_8: HZ2DG6HK

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/HZ2DG6HK7S4DIUKYGEZ3JZOFKG \
  | 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: 3e743378eafcb83451583133b4e5c551948af28345c4603dfffa3194881880e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5decbe889b16262b4b4c867de1c764d58cf3ec90df776e68d803321c6227e5ab",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-10-10T16:14:34Z",
    "title_canon_sha256": "ed314ea71b5a2c5b7e3ff22f34af26975314b7bebe8d228fa1bb75bc0b60a376"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2091",
    "kind": "arxiv",
    "version": 2
  }
}