Pith Number

pith:Q2O5MABR

pith:2007:Q2O5MABR5GABXPAZKM4DWKVLKA

not attested not anchored not stored refs pending

Holographic Calculation of Boundary Entropy

Andreas Karch, Ethan G. Thompson, Tadashi Takayanagi, Tatsuo Azeyanagi

arxiv:0712.1850 v1 · 2007-12-11 · hep-th · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q2O5MABR5GABXPAZKM4DWKVLKA}

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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

2 papers in Pith

Decoding the string in terms of holographic quantum maps

The degrees of freedom of multiway junctions in three dimensional gravity

Receipt and verification

First computed	2026-07-04T17:17:40.229961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

869dd60031e9801bbc1953383b2aab502bb85e5b5fac595d604a50421bafcb45

Aliases

arxiv: 0712.1850 · arxiv_version: 0712.1850v1 · doi: 10.48550/arxiv.0712.1850 · pith_short_12: Q2O5MABR5GAB · pith_short_16: Q2O5MABR5GABXPAZ · pith_short_8: Q2O5MABR

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/Q2O5MABR5GABXPAZKM4DWKVLKA \
  | 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: 869dd60031e9801bbc1953383b2aab502bb85e5b5fac595d604a50421bafcb45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d6f6426f20d99513488e768e87014c1798866d4b0c19cd385b377726e1996ff",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-12-11T23:55:16Z",
    "title_canon_sha256": "055b1eaab4a7b81f9b097070a3bb21e20828ca6123af30a6137370b3c7260ead"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1850",
    "kind": "arxiv",
    "version": 1
  }
}