Pith Number

pith:35PEMX44

pith:2004:35PEMX44JRWM3WOSGXPD43QWYB

not attested not anchored not stored refs pending

The Critical Value of the Contact Process with Added and Removed Edges

Paul Jung

arxiv:math/0405045 v2 · 2004-05-04 · 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{35PEMX44JRWM3WOSGXPD43QWYB}

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	2026-07-04T14:38:35.082746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df5e465f9c4c6ccdd9d235de3e6e16c052f4eff3c662d4c662580cbb0df97f79

Aliases

arxiv: math/0405045 · arxiv_version: math/0405045v2 · doi: 10.48550/arxiv.math/0405045 · pith_short_12: 35PEMX44JRWM · pith_short_16: 35PEMX44JRWM3WOS · pith_short_8: 35PEMX44

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/35PEMX44JRWM3WOSGXPD43QWYB \
  | 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: df5e465f9c4c6ccdd9d235de3e6e16c052f4eff3c662d4c662580cbb0df97f79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e002bb1e8859cfa6463d72764552d82b6f0084bfa56f8488734da1257246bfc4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-05-04T02:19:33Z",
    "title_canon_sha256": "3053fb70f6ef71e360b557bf0bbca395ef2fe9d67789ef8d9f1c3a6605dab07a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405045",
    "kind": "arxiv",
    "version": 2
  }
}