Pith Number

pith:ATRIOZCC

pith:2013:ATRIOZCC7T32CPUYW4QTQ6OAM5

not attested not anchored not stored refs pending

Bipartite Minors

Eran Nevo, Gil Kalai, Isabella Novik, Maria Chudnovsky, Paul Seymour

arxiv:1312.0210 v1 · 2013-12-01 · 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{ATRIOZCC7T32CPUYW4QTQ6OAM5}

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	2026-05-18T03:05:46.361572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04e2876442fcf7a13e98b7213879c06777e4382cfc524841d16ffe8f306ffb59

Aliases

arxiv: 1312.0210 · arxiv_version: 1312.0210v1 · doi: 10.48550/arxiv.1312.0210 · pith_short_12: ATRIOZCC7T32 · pith_short_16: ATRIOZCC7T32CPUY · pith_short_8: ATRIOZCC

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/ATRIOZCC7T32CPUYW4QTQ6OAM5 \
  | 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: 04e2876442fcf7a13e98b7213879c06777e4382cfc524841d16ffe8f306ffb59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e5d0e578123b6412a7c3e11f59c9f1ae0f2ba13e426573dc6e98eed28e88750",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-01T12:56:26Z",
    "title_canon_sha256": "8e0bac28f04a12fffbc1b4d460e0d7266b994b75a2575b00a24c9d981e4a17ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0210",
    "kind": "arxiv",
    "version": 1
  }
}