Pith Number

pith:6XFEXBYR

pith:2014:6XFEXBYRZMQV2QJCBP6SYOEOYK

not attested not anchored not stored refs pending

Gr\"obner methods for representations of combinatorial categories

Andrew Snowden, Steven V Sam

arxiv:1409.1670 v3 · 2014-09-05 · math.AC · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6XFEXBYRZMQV2QJCBP6SYOEOYK}

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	2026-05-18T01:00:54.142622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5ca4b8711cb215d41220bfd2c388ec2849da60a181693c11ae90497b49a770c

Aliases

arxiv: 1409.1670 · arxiv_version: 1409.1670v3 · doi: 10.48550/arxiv.1409.1670 · pith_short_12: 6XFEXBYRZMQV · pith_short_16: 6XFEXBYRZMQV2QJC · pith_short_8: 6XFEXBYR

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/6XFEXBYRZMQV2QJCBP6SYOEOYK \
  | 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: f5ca4b8711cb215d41220bfd2c388ec2849da60a181693c11ae90497b49a770c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "659848129a64aa4774a8a9a5be2687d127a8517a393dfb1bfc20caeef753b922",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-09-05T06:45:08Z",
    "title_canon_sha256": "f4960c4212aafd383a18c3e8e6b8983fc28330075cfa3f18d1cd383f41722db8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1670",
    "kind": "arxiv",
    "version": 3
  }
}