Pith Number

pith:X6XD5JWK

pith:2017:X6XD5JWKLEV3EKIY67X3JMLCJN

not attested not anchored not stored refs pending

Statistical physics on a product of trees

Tom Hutchcroft

arxiv:1712.04911 v2 · 2017-12-13 · math.PR · 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{X6XD5JWKLEV3EKIY67X3JMLCJN}

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	2026-05-17T23:56:35.166151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfae3ea6ca592bb22918f7efb4b1624b4bba334482f796e578b9f4c15d69dde1

Aliases

arxiv: 1712.04911 · arxiv_version: 1712.04911v2 · doi: 10.48550/arxiv.1712.04911 · pith_short_12: X6XD5JWKLEV3 · pith_short_16: X6XD5JWKLEV3EKIY · pith_short_8: X6XD5JWK

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/X6XD5JWKLEV3EKIY67X3JMLCJN \
  | 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: bfae3ea6ca592bb22918f7efb4b1624b4bba334482f796e578b9f4c15d69dde1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3675dac864f2765613115dc9816f0973ce4204c93e92809788db14812580abb3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-13T18:30:51Z",
    "title_canon_sha256": "4242939b8606a581854247c8cd8f635f865de622c45cd950c8a74d727008bbd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04911",
    "kind": "arxiv",
    "version": 2
  }
}