Pith Number

pith:64HXAMRN

pith:2014:64HXAMRNLCSZVHYKBGFOAQ2SNA

not attested not anchored not stored refs pending

Equivariant lattice generators and Markov bases

Anton Leykin, Robert Krone, Thomas Kahle

arxiv:1401.0397 v3 · 2014-01-02 · math.AC · 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{64HXAMRNLCSZVHYKBGFOAQ2SNA}

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	2026-05-18T01:33:32.765539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f70f70322d58a59a9f0a098ae043526801f5b54e58a02f47986d4cb647472383

Aliases

arxiv: 1401.0397 · arxiv_version: 1401.0397v3 · doi: 10.48550/arxiv.1401.0397 · pith_short_12: 64HXAMRNLCSZ · pith_short_16: 64HXAMRNLCSZVHYK · pith_short_8: 64HXAMRN

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/64HXAMRNLCSZVHYKBGFOAQ2SNA \
  | 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: f70f70322d58a59a9f0a098ae043526801f5b54e58a02f47986d4cb647472383

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ce5d1a68d75321d8ddcc24d226b7630f2be0e7ce0f2f7ad1e2ab24317fe9405",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-01-02T09:29:01Z",
    "title_canon_sha256": "8de022854eee10318fe93b45742367552927196f2af4c87efecacbcc932ba090"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0397",
    "kind": "arxiv",
    "version": 3
  }
}