Pith Number

pith:T2JF4JHC

pith:2015:T2JF4JHC6MPOHXKN24WEBP6VI2

not attested not anchored not stored refs pending

Mixing times for a constrained Ising process on the torus at low density

Aaron Smith, Natesh S. Pillai

arxiv:1501.05263 v1 · 2015-01-21 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T2JF4JHC6MPOHXKN24WEBP6VI2}

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	2026-05-18T02:28:55.662517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e925e24e2f31ee3dd4dd72c40bfd546b7057285706d042c96680a11b8226cee

Aliases

arxiv: 1501.05263 · arxiv_version: 1501.05263v1 · doi: 10.48550/arxiv.1501.05263 · pith_short_12: T2JF4JHC6MPO · pith_short_16: T2JF4JHC6MPOHXKN · pith_short_8: T2JF4JHC

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/T2JF4JHC6MPOHXKN24WEBP6VI2 \
  | 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: 9e925e24e2f31ee3dd4dd72c40bfd546b7057285706d042c96680a11b8226cee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34880d01a59261446b20858133ec99fd5bada95adf7807898906314600e2d53e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-21T19:02:22Z",
    "title_canon_sha256": "3872e9dfbf308fd048e01de4046b1040bb3ff36eaff2d291dceddeaa064ad682"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05263",
    "kind": "arxiv",
    "version": 1
  }
}