Pith Number

pith:TVOKDVCD

pith:2014:TVOKDVCDNC3W22Z42JNHJO2NRT

not attested not anchored not stored refs pending

Nowhere-zero 5-flows on cubic graphs with oddness 4

Eckhard Steffen, Giuseppe Mazzuoccolo

arxiv:1412.5398 v1 · 2014-12-17 · 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{TVOKDVCDNC3W22Z42JNHJO2NRT}

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	2026-05-18T02:31:03.068989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d5ca1d44368b76d6b3cd25a74bb4d8cdafd7f8870c5fde2fe58de3f5e3f8b99

Aliases

arxiv: 1412.5398 · arxiv_version: 1412.5398v1 · doi: 10.48550/arxiv.1412.5398 · pith_short_12: TVOKDVCDNC3W · pith_short_16: TVOKDVCDNC3W22Z4 · pith_short_8: TVOKDVCD

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/TVOKDVCDNC3W22Z42JNHJO2NRT \
  | 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: 9d5ca1d44368b76d6b3cd25a74bb4d8cdafd7f8870c5fde2fe58de3f5e3f8b99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39d233d53eac38309c1a935ba584ab805c02230d47adc0287323de609d1e793f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-17T14:09:41Z",
    "title_canon_sha256": "23c290e5eb6bed36691cc6af25c9090f9736ea73acf3caaccaae00639bc174d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5398",
    "kind": "arxiv",
    "version": 1
  }
}