Pith Number

pith:FXSW6BJV

pith:2013:FXSW6BJVU6LXWWBJWRTDCFHFXI

not attested not anchored not stored refs pending

An algorithm for computing the multigraded Hilbert depth of a module

Andrei Zarojanu, Bogdan Ichim

arxiv:1304.7215 v3 · 2013-04-26 · 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{FXSW6BJVU6LXWWBJWRTDCFHFXI}

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	2026-05-18T02:46:39.437378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2de56f0535a7977b5829b4663114e5ba32eda6af58a79f7faf8b4e922ceb206c

Aliases

arxiv: 1304.7215 · arxiv_version: 1304.7215v3 · doi: 10.48550/arxiv.1304.7215 · pith_short_12: FXSW6BJVU6LX · pith_short_16: FXSW6BJVU6LXWWBJ · pith_short_8: FXSW6BJV

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/FXSW6BJVU6LXWWBJWRTDCFHFXI \
  | 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: 2de56f0535a7977b5829b4663114e5ba32eda6af58a79f7faf8b4e922ceb206c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10c81cbf87d44ff4f710ea934f31c425ad14f59e3914d9d722aa3ab90b14ffa7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-04-26T16:15:08Z",
    "title_canon_sha256": "21b484863a8352996ff5f425f2a64cc8c2130ea380ef88dc2a863c7d1bd1481e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7215",
    "kind": "arxiv",
    "version": 3
  }
}