Pith Number

pith:GUOUBWRR

pith:2010:GUOUBWRRB6KUBVCQFQE3THGEFC

not attested not anchored not stored refs pending

On Irregular Binomial $D$-modules

Francisco-Jes\'us Castro-Jim\'enez, Mar\'ia-Cruz Fern\'andez-Fern\'andez

arxiv:1012.0618 v2 · 2010-12-03 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GUOUBWRRB6KUBVCQFQE3THGEFC}

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	2026-05-18T03:19:22.731194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

351d40da310f9540d4502c09b99cc428a138db430e7847651ab9c719a427ab6d

Aliases

arxiv: 1012.0618 · arxiv_version: 1012.0618v2 · doi: 10.48550/arxiv.1012.0618 · pith_short_12: GUOUBWRRB6KU · pith_short_16: GUOUBWRRB6KUBVCQ · pith_short_8: GUOUBWRR

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/GUOUBWRRB6KUBVCQFQE3THGEFC \
  | 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: 351d40da310f9540d4502c09b99cc428a138db430e7847651ab9c719a427ab6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "396e632babe194726dc9b532fb1a17b56f22de25532c7a67f1f9118cf585780a",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-03T01:21:28Z",
    "title_canon_sha256": "4d86a9341353c17dc9406de8d2be743d449fd8aae450e39f28126121971abb1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0618",
    "kind": "arxiv",
    "version": 2
  }
}