Pith Number

pith:WOZ6GVCQ

pith:2011:WOZ6GVCQFBXXQTIGAMPN5KPNHE

not attested not anchored not stored refs pending

Thermodynamics and the moment map

Mikhail Kapranov

arxiv:1108.3472 v1 · 2011-08-17 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WOZ6GVCQFBXXQTIGAMPN5KPNHE}

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

1 paper in Pith

The Poincar\'e-Boltzmann Machine: from Statistical Physics to Machine Learning and back

Receipt and verification

First computed	2026-05-18T04:15:17.647924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3b3e35450286f784d06031edea9ed390f3f084534745e56246d3cadd1fe1c42

Aliases

arxiv: 1108.3472 · arxiv_version: 1108.3472v1 · doi: 10.48550/arxiv.1108.3472 · pith_short_12: WOZ6GVCQFBXX · pith_short_16: WOZ6GVCQFBXXQTIG · pith_short_8: WOZ6GVCQ

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/WOZ6GVCQFBXXQTIGAMPN5KPNHE \
  | 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: b3b3e35450286f784d06031edea9ed390f3f084534745e56246d3cadd1fe1c42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc7ac053e5751577acd99905b06f15de015a72d1f013dd6ddeffa4a4c9bbb032",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-08-17T13:07:43Z",
    "title_canon_sha256": "e2c0409f4f0ea9df6123af03542a2743bda8263e5ff02aa585770175e9c428ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3472",
    "kind": "arxiv",
    "version": 1
  }
}