Pith Number

pith:LIG4VGDK

pith:2014:LIG4VGDKJP7RTQ73NHW2GQW5D3

not attested not anchored not stored refs pending

Topological aspects of generalized gravitational entropy

Donald Marolf, Felix M. Haehl, Henry Maxfield, Mukund Rangamani, Thomas Hartman

arxiv:1412.7561 v2 · 2014-12-23 · hep-th · 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{LIG4VGDKJP7RTQ73NHW2GQW5D3}

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	2026-05-18T01:55:07.476643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a0dca986a4bff19c3fb69eda342dd1ed2def8f673a5521f33bab649a9e5f19a

Aliases

arxiv: 1412.7561 · arxiv_version: 1412.7561v2 · doi: 10.48550/arxiv.1412.7561 · pith_short_12: LIG4VGDKJP7R · pith_short_16: LIG4VGDKJP7RTQ73 · pith_short_8: LIG4VGDK

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/LIG4VGDKJP7RTQ73NHW2GQW5D3 \
  | 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: 5a0dca986a4bff19c3fb69eda342dd1ed2def8f673a5521f33bab649a9e5f19a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97573a77b108f7c9506e11ace4295d86370008049e787c05c50660ee93534929",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-12-23T22:09:39Z",
    "title_canon_sha256": "fab7215111096afaa9387332e3259c227ff67832914edb9fc40cc93e20464671"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7561",
    "kind": "arxiv",
    "version": 2
  }
}