Pith Number

pith:TPXJU4BX

pith:1996:TPXJU4BXBOTQEYVMKCXEIWSYZI

not attested not anchored not stored refs pending

Average Entropy of a Subsystem

Siddhartha Sen

arxiv:hep-th/9601132 v1 · 1996-01-24 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPXJU4BXBOTQEYVMKCXEIWSYZI}

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

3 papers in Pith

Revisiting the Page curve and its moments. A combinatorial approach

The Maximal Entanglement Limit in Statistical and High Energy Physics

Large $N$ factorization of families of tensor trace-invariants

Receipt and verification

First computed	2026-07-04T16:02:03.201586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bee9a70370ba70262ac50ae445a58ca30b8008798fc8025e94fab6280a4089a

Aliases

arxiv: hep-th/9601132 · arxiv_version: hep-th/9601132v1 · doi: 10.48550/arxiv.hep-th/9601132 · pith_short_12: TPXJU4BXBOTQ · pith_short_16: TPXJU4BXBOTQEYVM · pith_short_8: TPXJU4BX

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/TPXJU4BXBOTQEYVMKCXEIWSYZI \
  | 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: 9bee9a70370ba70262ac50ae445a58ca30b8008798fc8025e94fab6280a4089a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef51f02458fbdfec76b2b7cf9c4732b23cba7be6198e927af8e532d752772c98",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1996-01-24T18:26:21Z",
    "title_canon_sha256": "bc04bdea4d496b9166dc2069c813ae525ebed8112544fd95b9dd260e04059939"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9601132",
    "kind": "arxiv",
    "version": 1
  }
}