Pith Number

pith:VVXFZXCU

pith:2026:VVXFZXCUYALE3IUAY4FGWJRKN2

not attested not anchored not stored refs pending

Near-bipartite bricks in which every b-invariant edge is a forcing edge

Fuliang Lu, Yaxian Zhang

arxiv:2607.00608 v1 · 2026-07-01 · 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{VVXFZXCUYALE3IUAY4FGWJRKN2}

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	2026-07-02T01:17:49.036500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad6e5cdc54c0164da280c70a6b262a6ea68183103a2ee226984ff64dd88bd9ac

Aliases

arxiv: 2607.00608 · arxiv_version: 2607.00608v1 · doi: 10.48550/arxiv.2607.00608 · pith_short_12: VVXFZXCUYALE · pith_short_16: VVXFZXCUYALE3IUA · pith_short_8: VVXFZXCU

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/VVXFZXCUYALE3IUAY4FGWJRKN2 \
  | 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: ad6e5cdc54c0164da280c70a6b262a6ea68183103a2ee226984ff64dd88bd9ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67a78568c6af417eadce91136c3bbfdae81954966775947ca1b242970fd1f167",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-01T08:32:21Z",
    "title_canon_sha256": "2477718476b2887fb28079b6531f2850662248e746af292f4028a7c574d58fa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00608",
    "kind": "arxiv",
    "version": 1
  }
}