Pith Number

pith:TIRXSLTB

pith:2018:TIRXSLTBE46HXXPQBBT33J5MET

not attested not anchored not stored refs pending

Group entropies: from phase space geometry to entropy functionals via group theory

Henrik Jeldtoft Jensen, Piergiulio Tempesta

arxiv:1809.06718 v1 · 2018-09-16 · 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{TIRXSLTBE46HXXPQBBT33J5MET}

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	2026-05-18T00:00:50.041233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a23792e61273c7bddf00867bda7ac24da7f655c1f0247143b8658293eb84948

Aliases

arxiv: 1809.06718 · arxiv_version: 1809.06718v1 · doi: 10.48550/arxiv.1809.06718 · pith_short_12: TIRXSLTBE46H · pith_short_16: TIRXSLTBE46HXXPQ · pith_short_8: TIRXSLTB

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/TIRXSLTBE46HXXPQBBT33J5MET \
  | 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: 9a23792e61273c7bddf00867bda7ac24da7f655c1f0247143b8658293eb84948

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ca3d7b81bee55d34ac4b91200fb4396fb4f6b40937360e71063f959dfb87398",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2018-09-16T15:26:39Z",
    "title_canon_sha256": "eccaa0fa7d53cc682be4425c7a5532945ac328014e9609d404cd2d15c9130c78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06718",
    "kind": "arxiv",
    "version": 1
  }
}