Pith Number

pith:CV3SND5Q

pith:2009:CV3SND5Q7GOP2PCZJJLEHALK7Q

not attested not anchored not stored refs pending

Interleaved adjoints on directed graphs

Claude Tardif, Jan Foniok, Jaroslav Nesetril

arxiv:0905.1200 v2 · 2009-05-08 · math.CO · cs.DM · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CV3SND5Q7GOP2PCZJJLEHALK7Q}

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	2026-05-18T03:49:12.259000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1577268fb0f99cfd3c594a5643816afc3df426a0b5999a37b715336f36f532b2

Aliases

arxiv: 0905.1200 · arxiv_version: 0905.1200v2 · doi: 10.48550/arxiv.0905.1200 · pith_short_12: CV3SND5Q7GOP · pith_short_16: CV3SND5Q7GOP2PCZ · pith_short_8: CV3SND5Q

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/CV3SND5Q7GOP2PCZJJLEHALK7Q \
  | 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: 1577268fb0f99cfd3c594a5643816afc3df426a0b5999a37b715336f36f532b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f771b23d5a26846dd807d1762625bf0f70122592c66532731cda4002c1416e08",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-05-08T08:33:13Z",
    "title_canon_sha256": "62526bdf10033c8d5b19bdd82469b1ac7715ca713e62aa8239ae17b3c7b2a657"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1200",
    "kind": "arxiv",
    "version": 2
  }
}