Pith Number

pith:JFC3C7FU

pith:2016:JFC3C7FUINDTLULKY3YOHJEWEG

not attested not anchored not stored refs pending

Equilibration in the Kac Model using the GTW Metric $d_2$

Hagop Tossounian

arxiv:1610.09601 v2 · 2016-10-30 · 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{JFC3C7FUINDTLULKY3YOHJEWEG}

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	2026-05-18T00:35:24.399343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4945b17cb4434735d16ac6f0e3a4962199025928c7374388b6b7bc4cf2e6b3cf

Aliases

arxiv: 1610.09601 · arxiv_version: 1610.09601v2 · doi: 10.48550/arxiv.1610.09601 · pith_short_12: JFC3C7FUINDT · pith_short_16: JFC3C7FUINDTLULK · pith_short_8: JFC3C7FU

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/JFC3C7FUINDTLULKY3YOHJEWEG \
  | 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: 4945b17cb4434735d16ac6f0e3a4962199025928c7374388b6b7bc4cf2e6b3cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca677de8e6fe9ec36409878cb04e46b1628d64e9ccc7d3e499585e7a3cd57fbe",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-30T03:38:05Z",
    "title_canon_sha256": "ed7d5768b535aff39e49745a449fdd8f155c5da1eb5271cd7ecdc326fd15802e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09601",
    "kind": "arxiv",
    "version": 2
  }
}