Pith Number

pith:AUNR6HHM

pith:2016:AUNR6HHMQ7QAY4BZMPFBQ2ZETW

not attested not anchored not stored refs pending

First-order phase transitions in outbreaks of co-infectious diseases and the extended general epidemic process

Hans-Karl Janssen, Olaf Stenull

arxiv:1602.01786 v1 · 2016-02-04 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AUNR6HHMQ7QAY4BZMPFBQ2ZETW}

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	2026-05-18T01:17:55.107177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

051b1f1cec87e00c703963ca186b249dbcaa3e2b31f8f2c043ba2cabe478c4ae

Aliases

arxiv: 1602.01786 · arxiv_version: 1602.01786v1 · doi: 10.48550/arxiv.1602.01786 · pith_short_12: AUNR6HHMQ7QA · pith_short_16: AUNR6HHMQ7QAY4BZ · pith_short_8: AUNR6HHM

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/AUNR6HHMQ7QAY4BZMPFBQ2ZETW \
  | 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: 051b1f1cec87e00c703963ca186b249dbcaa3e2b31f8f2c043ba2cabe478c4ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e4f47f8735a2b602f6d6d5becc9b4d9850870982dcb5929d96f41d14b47d1b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-02-04T18:47:47Z",
    "title_canon_sha256": "0b8bde657a83f468dc4ae7e35e86d7e08af7bc49c95d0aa7f7084573a6ef58c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01786",
    "kind": "arxiv",
    "version": 1
  }
}