Pith Number

pith:T5QSLUWW

pith:2012:T5QSLUWWBDRYTSXBYDF4WXGJD6

not attested not anchored not stored refs pending

Exponential extinction time of the contact process on finite graphs

Daniel Valesin, Jean-Christophe Mourrat, Qiang Yao, Thomas Mountford

arxiv:1203.2972 v1 · 2012-03-13 · 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{T5QSLUWWBDRYTSXBYDF4WXGJD6}

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	2026-05-18T04:00:13.010524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f6125d2d608e389cae1c0cbcb5cc91f916b740fb660e8fbc259c91b27fff2d7

Aliases

arxiv: 1203.2972 · arxiv_version: 1203.2972v1 · doi: 10.48550/arxiv.1203.2972 · pith_short_12: T5QSLUWWBDRY · pith_short_16: T5QSLUWWBDRYTSXB · pith_short_8: T5QSLUWW

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/T5QSLUWWBDRYTSXBYDF4WXGJD6 \
  | 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: 9f6125d2d608e389cae1c0cbcb5cc91f916b740fb660e8fbc259c91b27fff2d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23bcd6a4f9af852932c6fb8dbd88fdba845a9990c1633887558d1990f26e6c55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-13T23:07:55Z",
    "title_canon_sha256": "ec7ac691846ac43b42ddb2568158610b5079a06733526cae41f90124d1e23f4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2972",
    "kind": "arxiv",
    "version": 1
  }
}