Pith Number

pith:3SHYG7MV

pith:2012:3SHYG7MVJYFUY2USIELBFP6LQK

not attested not anchored not stored refs pending

Phase transition of a Heat equation with Robin's boundary conditions and exclusion process

Adriana Neumann, Patricia Gon\c{c}alves, Tertuliano Franco

arxiv:1210.3662 v2 · 2012-10-13 · math.PR · math-ph · math.AP · 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{3SHYG7MVJYFUY2USIELBFP6LQK}

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	2026-05-18T03:30:02.474345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc8f837d954e0b4c6a92411612bfcb828bf006ce7faa8018c17ee919febcd82e

Aliases

arxiv: 1210.3662 · arxiv_version: 1210.3662v2 · doi: 10.48550/arxiv.1210.3662 · pith_short_12: 3SHYG7MVJYFU · pith_short_16: 3SHYG7MVJYFUY2US · pith_short_8: 3SHYG7MV

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/3SHYG7MVJYFUY2USIELBFP6LQK \
  | 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: dc8f837d954e0b4c6a92411612bfcb828bf006ce7faa8018c17ee919febcd82e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07dd50157d0ca22bcd79c03f4ed001ecc176c17a01012dc3dd6ae41514d1feed",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-13T00:24:59Z",
    "title_canon_sha256": "99ee83e76a7ccafa9b79ec5949e236ec1d75b8beb6f4f031259e7a178c6711ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3662",
    "kind": "arxiv",
    "version": 2
  }
}