Pith Number

pith:WMY4QUE5

pith:2013:WMY4QUE5TMPQGJYYCVCUYZ6CIF

not attested not anchored not stored refs pending

Modules over categories and Betti posets of monomial ideals

Alexandre Tchernev, Marco Varisco

arxiv:1308.1434 v2 · 2013-08-06 · math.AC · math.AG · 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{WMY4QUE5TMPQGJYYCVCUYZ6CIF}

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	2026-05-18T01:29:32.115737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b331c8509d9b1f03271815454c67c24150d6c061e42935f04b1eb864fe397e1f

Aliases

arxiv: 1308.1434 · arxiv_version: 1308.1434v2 · doi: 10.48550/arxiv.1308.1434 · pith_short_12: WMY4QUE5TMPQ · pith_short_16: WMY4QUE5TMPQGJYY · pith_short_8: WMY4QUE5

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/WMY4QUE5TMPQGJYYCVCUYZ6CIF \
  | 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: b331c8509d9b1f03271815454c67c24150d6c061e42935f04b1eb864fe397e1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d855b13ce6e6f1bd207cac767ed674a66374c716aaf07d2b2bf89cfd37632b37",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-08-06T22:39:59Z",
    "title_canon_sha256": "f1731edd2a9a6aca33432b0688b9c4514d41bd4d82330522e2d11c68c5ad2141"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1434",
    "kind": "arxiv",
    "version": 2
  }
}