Pith Number

pith:D6KMXM77

pith:2014:D6KMXM7772Y7I7Z4BZAASAACFZ

not attested not anchored not stored refs pending

Biased graphs with no two vertex-disjoint unbalanced cycles

Irene Pivotto, Rong chen

arxiv:1403.1919 v4 · 2014-03-08 · 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{D6KMXM7772Y7I7Z4BZAASAACFZ}

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	2026-05-18T00:26:40.391467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f94cbb3fffeb1f47f3c0e400900022e774b5270f2be97b05ab3c328a5b9bbf0

Aliases

arxiv: 1403.1919 · arxiv_version: 1403.1919v4 · doi: 10.48550/arxiv.1403.1919 · pith_short_12: D6KMXM7772Y7 · pith_short_16: D6KMXM7772Y7I7Z4 · pith_short_8: D6KMXM77

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/D6KMXM7772Y7I7Z4BZAASAACFZ \
  | 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: 1f94cbb3fffeb1f47f3c0e400900022e774b5270f2be97b05ab3c328a5b9bbf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf62a0ffed4080729e93e977bb115d5c6f518b4ce08e4dc19ca8ad845653d6dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-08T02:07:41Z",
    "title_canon_sha256": "cacb1581b947bddbf319c09454232afc1d1ba64f293fa31bcc9e956d831d0ca7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1919",
    "kind": "arxiv",
    "version": 4
  }
}