Pith Number

pith:IWW32NN6

pith:2013:IWW32NN6VURHH3MD3263QYS6GJ

not attested not anchored not stored refs pending

Minimum Vector Rank and Complement Critical Graphs

Michael Nathanson, Rachel Phillips, Xiaowei Li

arxiv:1304.3751 v1 · 2013-04-13 · 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{IWW32NN6VURHH3MD3263QYS6GJ}

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	2026-05-18T03:28:04.487919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45adbd35bead2273ed83debdb8625e3276b5a9d93765292fc5620f7bd4657a08

Aliases

arxiv: 1304.3751 · arxiv_version: 1304.3751v1 · doi: 10.48550/arxiv.1304.3751 · pith_short_12: IWW32NN6VURH · pith_short_16: IWW32NN6VURHH3MD · pith_short_8: IWW32NN6

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/IWW32NN6VURHH3MD3263QYS6GJ \
  | 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: 45adbd35bead2273ed83debdb8625e3276b5a9d93765292fc5620f7bd4657a08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4933f9d77d2f5056c5089ee05d447e3fe3457ac341836f847d961e14a82a00b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-13T00:01:53Z",
    "title_canon_sha256": "40d0933d52f2798130581ad88e0e5518efd73c1096228c815137fab4bba2a60d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3751",
    "kind": "arxiv",
    "version": 1
  }
}