Pith Number

pith:WWORTMF4

pith:2011:WWORTMF4J6UHPL4LOF3ZKGQPBS

not attested not anchored not stored refs pending

The nullity of unicyclic signed graphs

Yi Wang, Yi-Zheng Fan, Yue Wang

arxiv:1107.0400 v1 · 2011-07-02 · 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{WWORTMF4J6UHPL4LOF3ZKGQPBS}

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	2026-05-18T03:25:25.932853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b59d19b0bc4fa877af8b7177951a0f0cb0ef37be213e91365bc2cb45fc56ca3f

Aliases

arxiv: 1107.0400 · arxiv_version: 1107.0400v1 · doi: 10.48550/arxiv.1107.0400 · pith_short_12: WWORTMF4J6UH · pith_short_16: WWORTMF4J6UHPL4L · pith_short_8: WWORTMF4

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/WWORTMF4J6UHPL4LOF3ZKGQPBS \
  | 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: b59d19b0bc4fa877af8b7177951a0f0cb0ef37be213e91365bc2cb45fc56ca3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ec04601efcddda861790eff74dc985adafeea0d952e8da8ea2b1a0099d3d141",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-02T17:53:00Z",
    "title_canon_sha256": "b8adf98127e9a6a0ccc840f405843e39d8544cf565101ba095d5941450c57b0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0400",
    "kind": "arxiv",
    "version": 1
  }
}