Pith Number

pith:CHEPBXEX

pith:2013:CHEPBXEXLU6PAWUMEDNC4VCDF4

not attested not anchored not stored refs pending

Chip-firing game and partial Tutte polynomial for Eulerian digraphs

K\'evin Perrot, Trung Van Pham

arxiv:1306.0294 v5 · 2013-06-03 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CHEPBXEXLU6PAWUMEDNC4VCDF4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:12:22.035030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11c8f0dc975d3cf05a8c20da2e54432f36ba039ed8356a200746781e788b915f

Aliases

arxiv: 1306.0294 · arxiv_version: 1306.0294v5 · doi: 10.48550/arxiv.1306.0294 · pith_short_12: CHEPBXEXLU6P · pith_short_16: CHEPBXEXLU6PAWUM · pith_short_8: CHEPBXEX

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/CHEPBXEXLU6PAWUMEDNC4VCDF4 \
  | 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: 11c8f0dc975d3cf05a8c20da2e54432f36ba039ed8356a200746781e788b915f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e177a91286947f19707d1b3eed61b74aa9df7a708c03992ba99518055b33bcbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-03T04:38:01Z",
    "title_canon_sha256": "858ef4f9caa53a0adc55c965880e09bf87342fea7bdaa81dfe0d9fdff22eb304"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0294",
    "kind": "arxiv",
    "version": 5
  }
}