Pith Number

pith:CXY4AOG6

pith:2015:CXY4AOG6NNQVTZXK5P3GGLEWPR

not attested not anchored not stored refs pending

Combing gravitational hair in 2+1 dimensions

Donald Marolf, Eric Mintun, William Donnelly

arxiv:1510.00672 v2 · 2015-10-02 · 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{CXY4AOG6NNQVTZXK5P3GGLEWPR}

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	2026-05-18T01:22:18.382008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15f1c038de6b6159e6eaebf6632c967c44a6e187df303c85699d22948f46fb6f

Aliases

arxiv: 1510.00672 · arxiv_version: 1510.00672v2 · doi: 10.48550/arxiv.1510.00672 · pith_short_12: CXY4AOG6NNQV · pith_short_16: CXY4AOG6NNQVTZXK · pith_short_8: CXY4AOG6

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/CXY4AOG6NNQVTZXK5P3GGLEWPR \
  | 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: 15f1c038de6b6159e6eaebf6632c967c44a6e187df303c85699d22948f46fb6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "356625f7756114b00f4ce379a52f50cdd92e1e6b38d7c4fcf8ba7b8debe29cd7",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-10-02T18:15:42Z",
    "title_canon_sha256": "29d46a29fb3eb373761b3eb4b9789d532046ce9d2314c68d1944c1314c5bb197"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00672",
    "kind": "arxiv",
    "version": 2
  }
}