Pith Number

pith:VI2J2G6K

pith:2010:VI2J2G6KUBBQA3ETGNWYDCGRY6

not attested not anchored not stored refs pending

Packing directed circuits exactly

Bertrand Guenin, Robin Thomas

arxiv:1012.2749 v1 · 2010-12-13 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VI2J2G6KUBBQA3ETGNWYDCGRY6}

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	2026-05-18T04:33:27.863623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa349d1bcaa043006c93336d8188d1c7a01feb82102663a35bebd60f42f52381

Aliases

arxiv: 1012.2749 · arxiv_version: 1012.2749v1 · doi: 10.48550/arxiv.1012.2749 · pith_short_12: VI2J2G6KUBBQ · pith_short_16: VI2J2G6KUBBQA3ET · pith_short_8: VI2J2G6K

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/VI2J2G6KUBBQA3ETGNWYDCGRY6 \
  | 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: aa349d1bcaa043006c93336d8188d1c7a01feb82102663a35bebd60f42f52381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8ccd6206609921c9544523677078ddddd4448026828bbffd2fd9e12009c9a36",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-13T15:01:22Z",
    "title_canon_sha256": "587ae4c0f1efae981ef082ab1133230d47382c5e378e284e41c20d4cb6c0c734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2749",
    "kind": "arxiv",
    "version": 1
  }
}