Pith Number

pith:Z2UZAYFG

pith:2011:Z2UZAYFG5ZADEIKQFMMJLUQAPD

not attested not anchored not stored refs pending

Holographic Calculations of Renyi Entropy

Alexandre Yale, Janet Hung, Michael Smolkin, Robert C. Myers

arxiv:1110.1084 v1 · 2011-10-05 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2UZAYFG5ZADEIKQFMMJLUQAPD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

Symmetry-Resolved Entanglement Entropy from Heat Kernels

Receipt and verification

First computed	2026-05-18T03:41:29.599206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cea99060a6ee403221502b1895d20078d3314dc2912367763209cffb125eb77d

Aliases

arxiv: 1110.1084 · arxiv_version: 1110.1084v1 · doi: 10.48550/arxiv.1110.1084 · pith_short_12: Z2UZAYFG5ZAD · pith_short_16: Z2UZAYFG5ZADEIKQ · pith_short_8: Z2UZAYFG

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/Z2UZAYFG5ZADEIKQFMMJLUQAPD \
  | 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: cea99060a6ee403221502b1895d20078d3314dc2912367763209cffb125eb77d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0947682dde9de19fdc7f3d5dbd3930db56105df13bb04a64c73f50e5a6d5863",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-10-05T19:50:06Z",
    "title_canon_sha256": "15bf9230577fc86a991677ab95ab90db96436932ece3a5dcf3ffd275b8015eb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1084",
    "kind": "arxiv",
    "version": 1
  }
}