Pith Number

pith:SPWFL77H

pith:2016:SPWFL77HXRPGS65ZZYSL5FNOHJ

not attested not anchored not stored refs pending

A simple proof of exponential decay of subcritical contact processes

Jan M. Swart

arxiv:1603.09142 v2 · 2016-03-30 · 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{SPWFL77HXRPGS65ZZYSL5FNOHJ}

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	2026-05-18T01:05:12.509774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93ec55ffe7bc5e697bb9ce24be95ae3a4d1ae6ab185d168d8b86a460f8c1ee72

Aliases

arxiv: 1603.09142 · arxiv_version: 1603.09142v2 · doi: 10.48550/arxiv.1603.09142 · pith_short_12: SPWFL77HXRPG · pith_short_16: SPWFL77HXRPGS65Z · pith_short_8: SPWFL77H

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/SPWFL77HXRPGS65ZZYSL5FNOHJ \
  | 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: 93ec55ffe7bc5e697bb9ce24be95ae3a4d1ae6ab185d168d8b86a460f8c1ee72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03c2c146ade5b10bfc5c089c13b2effef684262cbf356cb213f41d0cb431f1e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-30T12:02:20Z",
    "title_canon_sha256": "660b5e9a90f23382192f73f1f605b58b58735d6ea7e264286a950f381736fd5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09142",
    "kind": "arxiv",
    "version": 2
  }
}