Pith Number

pith:Q3EUTPIW

pith:2016:Q3EUTPIW3DM64EB7RGWYJSDFJ5

not attested not anchored not stored refs pending

Matching preclusion for $n$-grid graphs

Heping Zhang, Hui Zhou, Qi Ding

arxiv:1609.07207 v1 · 2016-09-23 · 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{Q3EUTPIW3DM64EB7RGWYJSDFJ5}

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	2026-05-18T00:02:55.314556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86c949bd16d8d9ee103f89ad84c8654f4fabd06721929a8bc23e296686efa112

Aliases

arxiv: 1609.07207 · arxiv_version: 1609.07207v1 · doi: 10.48550/arxiv.1609.07207 · pith_short_12: Q3EUTPIW3DM6 · pith_short_16: Q3EUTPIW3DM64EB7 · pith_short_8: Q3EUTPIW

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/Q3EUTPIW3DM64EB7RGWYJSDFJ5 \
  | 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: 86c949bd16d8d9ee103f89ad84c8654f4fabd06721929a8bc23e296686efa112

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32a5837d37c02da0e6c98484bf6bf0c8c34a2a9bac90bcdf857d4c82ecface46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-23T02:13:47Z",
    "title_canon_sha256": "a068b0d73bee24481987ce07ad46c0ca76a486d77d0a38b12f80c7773e5dc3db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07207",
    "kind": "arxiv",
    "version": 1
  }
}