Pith Number

pith:7NTSJTXW

pith:2026:7NTSJTXWPJDUHVN4TE3H2CMIP3

not attested not anchored not stored refs pending

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs

Emilio De Santis

arxiv:2607.08330 v1 · 2026-07-09 · 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{7NTSJTXWPJDUHVN4TE3H2CMIP3}

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	2026-07-10T01:19:47.380008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb6724cef67a4743d5bc99367d09887eccfcdcdf252852bda79b4dacb829fd43

Aliases

arxiv: 2607.08330 · arxiv_version: 2607.08330v1 · doi: 10.48550/arxiv.2607.08330 · pith_short_12: 7NTSJTXWPJDU · pith_short_16: 7NTSJTXWPJDUHVN4 · pith_short_8: 7NTSJTXW

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/7NTSJTXWPJDUHVN4TE3H2CMIP3 \
  | 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: fb6724cef67a4743d5bc99367d09887eccfcdcdf252852bda79b4dacb829fd43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "782a0e0a252f10992a57a20c050db930e6451cb92d3ecd06cbda0e43cc2285b1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-09T10:15:41Z",
    "title_canon_sha256": "5ee1c2e2c73db5157c9ad29cc3083bfc8afc852ee0ddfc138ff293fe5998dabf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08330",
    "kind": "arxiv",
    "version": 1
  }
}