Pith Number

pith:CFHRIV5X

pith:2011:CFHRIV5XRBJDFDOSAUOR3B5ESF

not attested not anchored not stored refs pending

Towards unambiguous calculation of the topological entropy for mixed states

James R. Wootton

arxiv:1103.2878 v4 · 2011-03-15 · cond-mat.str-el · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CFHRIV5XRBJDFDOSAUOR3B5ESF}

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	2026-05-18T03:55:37.544658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

114f1457b78852328dd2051d1d87a49159ffe57efa992aea8adc091bdf44a9ea

Aliases

arxiv: 1103.2878 · arxiv_version: 1103.2878v4 · doi: 10.48550/arxiv.1103.2878 · pith_short_12: CFHRIV5XRBJD · pith_short_16: CFHRIV5XRBJDFDOS · pith_short_8: CFHRIV5X

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/CFHRIV5XRBJDFDOSAUOR3B5ESF \
  | 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: 114f1457b78852328dd2051d1d87a49159ffe57efa992aea8adc091bdf44a9ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff2344978ee00c4c87f785aca7355c57398447759b5f4d418d44683ab5af4371",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2011-03-15T11:08:30Z",
    "title_canon_sha256": "26c01fa2fa67dccc9acf0be43d886cc2b069f71327aec8505f5eddb3cea983a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2878",
    "kind": "arxiv",
    "version": 4
  }
}