Pith Number

pith:ZGFODNZ2

pith:2021:ZGFODNZ2A3X5TDC5UGFELPJMZP

not attested not anchored not stored refs pending

Geometric vs Algebraic Nullity for Hyperpaths

Grant Fickes, Joshua Cooper

arxiv:2107.01500 v4 · 2021-07-03 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGFODNZ2A3X5TDC5UGFELPJMZP}

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.

Cited by

1 paper in Pith

Spectral Theory of Hypergraphs: A Survey

Receipt and verification

First computed	2026-07-05T04:02:17.368417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c98ae1b73a06efd98c5da18a45bd2ccbd7bd6e3d10b1db375e3017e894565584

Aliases

arxiv: 2107.01500 · arxiv_version: 2107.01500v4 · doi: 10.48550/arxiv.2107.01500 · pith_short_12: ZGFODNZ2A3X5 · pith_short_16: ZGFODNZ2A3X5TDC5 · pith_short_8: ZGFODNZ2

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/ZGFODNZ2A3X5TDC5UGFELPJMZP \
  | 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: c98ae1b73a06efd98c5da18a45bd2ccbd7bd6e3d10b1db375e3017e894565584

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59f3156e5229e1c30c5c4581a236edae89ca6bf6bd8ed6099ebeb3147aa1d566",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-07-03T21:28:42Z",
    "title_canon_sha256": "b054594a85f002e4afcd900f6423a6dc45be64108a777b694a50e063d0316cb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.01500",
    "kind": "arxiv",
    "version": 4
  }
}