Pith Number

pith:4NUN2VB6

pith:2012:4NUN2VB6TRTC62LKVMRWNGK23E

not attested not anchored not stored refs pending

On Frank's conjecture on k-connected orientations

Olivier Durand de Gevigney

arxiv:1212.4086 v1 · 2012-12-17 · 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{4NUN2VB6TRTC62LKVMRWNGK23E}

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	2026-05-18T03:38:21.550336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e368dd543e9c662f696aab2366995ad92ebbfdeaa95181d1a920280dbaa5569b

Aliases

arxiv: 1212.4086 · arxiv_version: 1212.4086v1 · doi: 10.48550/arxiv.1212.4086 · pith_short_12: 4NUN2VB6TRTC · pith_short_16: 4NUN2VB6TRTC62LK · pith_short_8: 4NUN2VB6

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/4NUN2VB6TRTC62LKVMRWNGK23E \
  | 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: e368dd543e9c662f696aab2366995ad92ebbfdeaa95181d1a920280dbaa5569b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "814fba602787a2d4f651754d24a66b4666f475af15572a370bb9ff20b3cdfebf",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-17T18:01:10Z",
    "title_canon_sha256": "adeff90a14bf53a23f4488ac4ada9c85679f4de6cd39ac2b036622ed37ad76f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4086",
    "kind": "arxiv",
    "version": 1
  }
}