Pith Number

pith:JT5NCA56

pith:2013:JT5NCA56VBJF4IFH55MTKDQR26

not attested not anchored not stored refs pending

Adaptive Epidemic Dynamics in Networks: Thresholds and Control

Li Xu, Shouhuai Xu, Wenlian Lu, Zhenxin Zhan

arxiv:1311.2180 v2 · 2013-11-09 · math.DS · cs.CR · cs.SI · math.OC · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JT5NCA56VBJF4IFH55MTKDQR26}

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	2026-05-18T01:17:33.615160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cfad103bea8525e20a7ef59350e11d7b596bf6d0ae730261e6fbb5f41587f7c

Aliases

arxiv: 1311.2180 · arxiv_version: 1311.2180v2 · doi: 10.48550/arxiv.1311.2180 · pith_short_12: JT5NCA56VBJF · pith_short_16: JT5NCA56VBJF4IFH · pith_short_8: JT5NCA56

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/JT5NCA56VBJF4IFH55MTKDQR26 \
  | 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: 4cfad103bea8525e20a7ef59350e11d7b596bf6d0ae730261e6fbb5f41587f7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3bbfe637078611ee41d0656bdc12f527935b4af6031f4a24a40f15ea8d6b147",
    "cross_cats_sorted": [
      "cs.CR",
      "cs.SI",
      "math.OC",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-11-09T15:24:35Z",
    "title_canon_sha256": "c7fcdd53059f5de281a1debfc9afc6e8bf016204068e0ff42171c31f9c25300b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2180",
    "kind": "arxiv",
    "version": 2
  }
}