Pith Number

pith:UJGP36YO

pith:2019:UJGP36YOIH64DIXZTNJIF6MYOA

not attested not anchored not stored refs pending

On the rank (nullity) of a connected graph

Jiming Guo, Zhiwen Wang

arxiv:1903.02929 v2 · 2019-03-07 · 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{UJGP36YOIH64DIXZTNJIF6MYOA}

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	2026-05-17T23:51:41.515628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a24cfdfb0e41fdc1a2f99b5282f998702f4921ca02709766bfe499aeb55c0227

Aliases

arxiv: 1903.02929 · arxiv_version: 1903.02929v2 · doi: 10.48550/arxiv.1903.02929 · pith_short_12: UJGP36YOIH64 · pith_short_16: UJGP36YOIH64DIXZ · pith_short_8: UJGP36YO

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/UJGP36YOIH64DIXZTNJIF6MYOA \
  | 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: a24cfdfb0e41fdc1a2f99b5282f998702f4921ca02709766bfe499aeb55c0227

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab3f54eea3036ba473142262f364fd154e8608137898bc37adb8b641d7e40693",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-07T14:18:29Z",
    "title_canon_sha256": "bfd06d303be3542e08c18490c11d8d8b4c46948d32503b665217add6debeaa12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02929",
    "kind": "arxiv",
    "version": 2
  }
}