Pith Number

pith:FO2E47KF

pith:2012:FO2E47KFNKVDVIKFXG4PJBVQST

not attested not anchored not stored refs pending

How to compute the multigraded Hilbert depth of a module

Bogdan Ichim, Julio Jos\'e Moyano-Fern\'andez

arxiv:1209.0084 v3 · 2012-09-01 · 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{FO2E47KFNKVDVIKFXG4PJBVQST}

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	2026-05-18T03:09:59.899959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bb44e7d456aaa3aa145b9b8f486b094de1529fe7226b790d886c860aacf2b8e

Aliases

arxiv: 1209.0084 · arxiv_version: 1209.0084v3 · doi: 10.48550/arxiv.1209.0084 · pith_short_12: FO2E47KFNKVD · pith_short_16: FO2E47KFNKVDVIKF · pith_short_8: FO2E47KF

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/FO2E47KFNKVDVIKFXG4PJBVQST \
  | 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: 2bb44e7d456aaa3aa145b9b8f486b094de1529fe7226b790d886c860aacf2b8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09c5ec90a23462da3ccbcdc926d3ab102cb42189dbf71c6b454e2799a9e08043",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-09-01T11:47:16Z",
    "title_canon_sha256": "b1bda7692874c7ecd35b8bbf228a5600af51648495a0ce2e785214d0a1a0e521"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0084",
    "kind": "arxiv",
    "version": 3
  }
}