Pith Number

pith:E63U6G2F

pith:2016:E63U6G2FTLF5QCWFCR5B2KTIAR

not attested not anchored not stored refs pending

Exponential extinction time of the contact process on rank-one inhomogeneous random graphs

Van Hao Can (I2M)

arxiv:1602.02059 v2 · 2016-02-05 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E63U6G2FTLF5QCWFCR5B2KTIAR}

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	2026-05-18T00:34:58.042430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27b74f1b459acbd80ac5147a1d2a680458317b018cafa797ccb84e5e135dc905

Aliases

arxiv: 1602.02059 · arxiv_version: 1602.02059v2 · doi: 10.48550/arxiv.1602.02059 · pith_short_12: E63U6G2FTLF5 · pith_short_16: E63U6G2FTLF5QCWF · pith_short_8: E63U6G2F

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/E63U6G2FTLF5QCWFCR5B2KTIAR \
  | 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: 27b74f1b459acbd80ac5147a1d2a680458317b018cafa797ccb84e5e135dc905

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10f8ad3ca756a64d4c5b4803531d43e593c3818600199f2591a97f2cda7ea849",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-02-05T15:23:16Z",
    "title_canon_sha256": "737419fe0705034d073be6dc047a3cab7fe1c3bcf6382ce1e27da08a25ae6788"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02059",
    "kind": "arxiv",
    "version": 2
  }
}