Pith Number

pith:7EFSV7LB

pith:2025:7EFSV7LBUZKY7ZML7U7VEIOUDI

not attested not anchored not stored refs pending

Linear relations of colored Gaussian cycles

Hannah G\"obel, Pratik Misra

arxiv:2506.23936 v1 · 2025-06-30 · math.CO · math.AG · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7EFSV7LBUZKY7ZML7U7VEIOUDI}

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	2026-07-05T11:29:30.391029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f90b2afd61a6558fe58bfd3f5221d41a08c2c4d13258de475b4bc385eeea52f5

Aliases

arxiv: 2506.23936 · arxiv_version: 2506.23936v1 · doi: 10.48550/arxiv.2506.23936 · pith_short_12: 7EFSV7LBUZKY · pith_short_16: 7EFSV7LBUZKY7ZML · pith_short_8: 7EFSV7LB

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/7EFSV7LBUZKY7ZML7U7VEIOUDI \
  | 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: f90b2afd61a6558fe58bfd3f5221d41a08c2c4d13258de475b4bc385eeea52f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34d69d052aacfec0045d6b22c2fcc56590773738da11e545c524742e6b90e759",
    "cross_cats_sorted": [
      "math.AG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-30T15:05:04Z",
    "title_canon_sha256": "a197995044825809ec02016e813d5b668e8962f68a3ae53b8e63703d070f0e7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23936",
    "kind": "arxiv",
    "version": 1
  }
}