Pith Number

pith:HP6GBZ25

pith:2010:HP6GBZ25YXVPLXVOHB7RTD2G5Q

not attested not anchored not stored refs pending

Conserved current for the Cotton tensor, black hole entropy and equivariant Pontryagin forms

Roberto Ferreiro P\'erez

arxiv:1004.3161 v1 · 2010-04-19 · 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{HP6GBZ25YXVPLXVOHB7RTD2G5Q}

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	2026-05-18T02:33:33.982510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bfc60e75dc5eaf5deae387f198f46ec38e1c34ac236d64ea865057ec2f009ec

Aliases

arxiv: 1004.3161 · arxiv_version: 1004.3161v1 · doi: 10.48550/arxiv.1004.3161 · pith_short_12: HP6GBZ25YXVP · pith_short_16: HP6GBZ25YXVPLXVO · pith_short_8: HP6GBZ25

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/HP6GBZ25YXVPLXVOHB7RTD2G5Q \
  | 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: 3bfc60e75dc5eaf5deae387f198f46ec38e1c34ac236d64ea865057ec2f009ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d6ad3160c431cd6d4adbe6a41f7622bbb13939c769bab570b31bee9293f7057",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-04-19T11:31:28Z",
    "title_canon_sha256": "f3527044397d87a4820b72fe9abd08432e0f6b91de5158f82acee77238212272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3161",
    "kind": "arxiv",
    "version": 1
  }
}