Pith Number

pith:ZYAE7SIZ

pith:2014:ZYAE7SIZEB2QRBGIGCLC2V3S23

not attested not anchored not stored refs pending

Entanglement entropy in three dimensional gravity

Henry Maxfield

arxiv:1412.0687 v3 · 2014-12-01 · 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{ZYAE7SIZEB2QRBGIGCLC2V3S23}

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

1 paper in Pith

Crosscap Quenches and Entanglement Evolution

Receipt and verification

First computed	2026-05-18T01:41:24.440651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce004fc91920750884c830962d5772d6f2671ca0c0afbc522741eab2624866d9

Aliases

arxiv: 1412.0687 · arxiv_version: 1412.0687v3 · doi: 10.48550/arxiv.1412.0687 · pith_short_12: ZYAE7SIZEB2Q · pith_short_16: ZYAE7SIZEB2QRBGI · pith_short_8: ZYAE7SIZ

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/ZYAE7SIZEB2QRBGIGCLC2V3S23 \
  | 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: ce004fc91920750884c830962d5772d6f2671ca0c0afbc522741eab2624866d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b19425eeb5d0a824e3ed65f4de165bf09a2f3cf23e20345c8c514baaa34b862",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-12-01T21:16:14Z",
    "title_canon_sha256": "5887ccee143a2155958903633a248def8d0dae83948fe492797a99e024ce4f9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0687",
    "kind": "arxiv",
    "version": 3
  }
}