Pith Number

pith:XEJOIILM

pith:2006:XEJOIILMPMF26JKE3D2KXYSU4E

not attested not anchored not stored refs pending

Probabilistic Inductive Classes of Graphs

Nata\v{s}a Kej\v{z}ar, Vladimir Batagelj, Zoran Nikoloski

arxiv:math/0612778 v1 · 2006-12-27 · math.DS · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XEJOIILMPMF26JKE3D2KXYSU4E}

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	2026-05-18T04:36:42.386373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b912e4216c7b0baf2544d8f4abe254e11c3948e6dc6189c4403f58692086137b

Aliases

arxiv: math/0612778 · arxiv_version: math/0612778v1 · doi: 10.48550/arxiv.math/0612778 · pith_short_12: XEJOIILMPMF2 · pith_short_16: XEJOIILMPMF26JKE · pith_short_8: XEJOIILM

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/XEJOIILMPMF26JKE3D2KXYSU4E \
  | 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: b912e4216c7b0baf2544d8f4abe254e11c3948e6dc6189c4403f58692086137b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2564c65ab988cfa3841461ea4f7ad644596260a92df04390985b449fde8333f6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2006-12-27T10:34:57Z",
    "title_canon_sha256": "fa069e5faa50907cbaeafad0e4bd727dd57da6474549a57395fe93e088cf3973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612778",
    "kind": "arxiv",
    "version": 1
  }
}