Pith Number

pith:Q7YCWY6Y

pith:2003:Q7YCWY6YDR5MJ2UABANAHA33PW

not attested not anchored not stored refs pending

Phase transitions in some epidemic models defined on small-world networks

A. S. Elgazzar, H. N. Agiza, S. A. Youssef

arxiv:cond-mat/0301004 v1 · 2003-01-01 · cond-mat.stat-mech · q-bio

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q7YCWY6YDR5MJ2UABANAHA33PW}

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	2026-05-18T01:06:58.238557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87f02b63d81c7ac4ea80081a03837b7d97db2af39d3f9d3452affd1676377f79

Aliases

arxiv: cond-mat/0301004 · arxiv_version: cond-mat/0301004v1 · doi: 10.48550/arxiv.cond-mat/0301004 · pith_short_12: Q7YCWY6YDR5M · pith_short_16: Q7YCWY6YDR5MJ2UA · pith_short_8: Q7YCWY6Y

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/Q7YCWY6YDR5MJ2UABANAHA33PW \
  | 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: 87f02b63d81c7ac4ea80081a03837b7d97db2af39d3f9d3452affd1676377f79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8451f1737fe4dc952ad3ce84220578a7417e81ff54df6840d5f1dec7fb6885d7",
    "cross_cats_sorted": [
      "q-bio"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2003-01-01T09:15:36Z",
    "title_canon_sha256": "0a7091ec05892592b51d3d46167fba769ab40ef13dd6d97cd43fd73c69990416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0301004",
    "kind": "arxiv",
    "version": 1
  }
}