Pith Number

pith:TCA6L6UV

pith:2013:TCA6L6UVWYX2ZAYNCVUTITH4ZG

not attested not anchored not stored refs pending

Entropy-Driven Phase Transitions of Entanglement

Giorgio Parisi, Giuseppe Florio, Kazuya Yuasa, Paolo Facchi, Saverio Pascazio

arxiv:1302.3383 v1 · 2013-02-14 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCA6L6UVWYX2ZAYNCVUTITH4ZG}

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	2026-05-18T03:24:41.369686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9881e5fa95b62fac830d1569344cfcc9a3620376969ab7b969d6cfb074e7135c

Aliases

arxiv: 1302.3383 · arxiv_version: 1302.3383v1 · doi: 10.48550/arxiv.1302.3383 · pith_short_12: TCA6L6UVWYX2 · pith_short_16: TCA6L6UVWYX2ZAYN · pith_short_8: TCA6L6UV

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/TCA6L6UVWYX2ZAYNCVUTITH4ZG \
  | 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: 9881e5fa95b62fac830d1569344cfcc9a3620376969ab7b969d6cfb074e7135c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e209f7de4de911fb8adbcf8dc5490529b4179a2d20fc281ebea0709d4856d784",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-02-14T12:25:05Z",
    "title_canon_sha256": "fda19654025073827aa7fc861082dfa037cb985faaf2ceed153b8d9a50e514b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3383",
    "kind": "arxiv",
    "version": 1
  }
}