Pith Number

pith:NNFQB7AZ

pith:2025:NNFQB7AZ6LVRFTZ2MOYBJLFMT3

not attested not anchored not stored refs pending

Estimate of the exit time for the Long Range Ising model on random regular graphs

Vanessa Jacquier

arxiv:2509.02188 v1 · 2025-09-02 · math.PR · math-ph · math.MP · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NNFQB7AZ6LVRFTZ2MOYBJLFMT3}

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	2026-07-05T12:03:33.606015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b4b00fc19f2eb12cf3a63b014acac9ed9acd9c3aaef491104c2845f9e758985

Aliases

arxiv: 2509.02188 · arxiv_version: 2509.02188v1 · doi: 10.48550/arxiv.2509.02188 · pith_short_12: NNFQB7AZ6LVR · pith_short_16: NNFQB7AZ6LVRFTZ2 · pith_short_8: NNFQB7AZ

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/NNFQB7AZ6LVRFTZ2MOYBJLFMT3 \
  | 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: 6b4b00fc19f2eb12cf3a63b014acac9ed9acd9c3aaef491104c2845f9e758985

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63306548415d0edfe448eb0e10371f49377ff2b048de2b2a243530981c6288b3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-09-02T10:55:50Z",
    "title_canon_sha256": "80504ed86996896b803fbd91263bd2aae22fc64c7008fc49bafb567b186f9729"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.02188",
    "kind": "arxiv",
    "version": 1
  }
}