Pith Number

pith:FT2S655I

pith:2012:FT2S655IRFOAHWPWW3TTKBFFEY

not attested not anchored not stored refs pending

Spreading Processes and Large Components in Ordered, Directed Random Graphs

Malik Magdon-Ismail, Paul Horn

arxiv:1209.2088 v2 · 2012-09-10 · math.CO · cs.DM · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FT2S655IRFOAHWPWW3TTKBFFEY}

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	2026-05-18T03:45:52.758047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cf52f77a8895c03d9f6b6e73504a5262f9a734e466bbadb37f8a9d4974dbba8

Aliases

arxiv: 1209.2088 · arxiv_version: 1209.2088v2 · doi: 10.48550/arxiv.1209.2088 · pith_short_12: FT2S655IRFOA · pith_short_16: FT2S655IRFOAHWPW · pith_short_8: FT2S655I

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/FT2S655IRFOAHWPWW3TTKBFFEY \
  | 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: 2cf52f77a8895c03d9f6b6e73504a5262f9a734e466bbadb37f8a9d4974dbba8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8bc6175ad348984972b7e2997c79cb3296b2e147b35336876c1b288fa8427c6",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-10T18:43:56Z",
    "title_canon_sha256": "ea68b891a76a7cd5200acf18be6262bad4bb2a2d205b765e7a095bf986e23219"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2088",
    "kind": "arxiv",
    "version": 2
  }
}