Pith Number

pith:XTZ3FVWI

pith:2016:XTZ3FVWIWFWV545Q64T4BGTAG2

not attested not anchored not stored refs pending

On Kirkwood-Salsburg solutions at criticality

Rog\'erio Gomes Alves

arxiv:1611.06912 v2 · 2016-11-21 · 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{XTZ3FVWIWFWV545Q64T4BGTAG2}

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	2026-05-18T00:40:46.494232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcf3b2d6c8b16d5ef3b0f727c09a603686d970387f841166a83ed9acda1dfa8a

Aliases

arxiv: 1611.06912 · arxiv_version: 1611.06912v2 · doi: 10.48550/arxiv.1611.06912 · pith_short_12: XTZ3FVWIWFWV · pith_short_16: XTZ3FVWIWFWV545Q · pith_short_8: XTZ3FVWI

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/XTZ3FVWIWFWV545Q64T4BGTAG2 \
  | 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: bcf3b2d6c8b16d5ef3b0f727c09a603686d970387f841166a83ed9acda1dfa8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9da755022a3aa561890ee99ba1ec9a99ae0b53c19db9dc90fce02fe16a4d343",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-11-21T17:40:01Z",
    "title_canon_sha256": "54df545b47c2aa0cddbf31436a84ec30fc99e4927557de7c762692ad5a6d024b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06912",
    "kind": "arxiv",
    "version": 2
  }
}