Pith Number

pith:6YI2XFHL

pith:2015:6YI2XFHLC7DWMZ7GO4EYEWNWYQ

not attested not anchored not stored refs pending

Phase Transitions in Cooperative Coinfections: Simulation Results for Networks and Lattices

Fakhteh Ghanbarnejad, Li Chen, Peter Grassberger, Weiran Cai

arxiv:1512.00613 v1 · 2015-12-02 · physics.soc-ph · cond-mat.stat-mech · 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{6YI2XFHLC7DWMZ7GO4EYEWNWYQ}

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	2026-05-18T01:15:43.781452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f611ab94eb17c76667e677098259b6c40a67de86f03125b99b0e0108d6ea6c6c

Aliases

arxiv: 1512.00613 · arxiv_version: 1512.00613v1 · doi: 10.48550/arxiv.1512.00613 · pith_short_12: 6YI2XFHLC7DW · pith_short_16: 6YI2XFHLC7DWMZ7G · pith_short_8: 6YI2XFHL

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/6YI2XFHLC7DWMZ7GO4EYEWNWYQ \
  | 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: f611ab94eb17c76667e677098259b6c40a67de86f03125b99b0e0108d6ea6c6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9944cfca6c4acbcdd8ab6e9326f1a1655c1d898a0ba32f1524463e222e0ba9b2",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-12-02T08:52:04Z",
    "title_canon_sha256": "ee2dad345e42b59ccbd9fc633756a514833b39406c2d5207ecaaea6e04281cd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00613",
    "kind": "arxiv",
    "version": 1
  }
}