Pith Number

pith:FELJ3MG5

pith:2012:FELJ3MG5X36PMM2UE2Y3FBFAZ7

not attested not anchored not stored refs pending

The Lemma on b-functions in Positive Characteristic

Theodore J. Stadnik Jr

arxiv:1206.4039 v3 · 2012-06-18 · math.AG · math.AC

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FELJ3MG5X36PMM2UE2Y3FBFAZ7}

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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.

Cited by

1 paper in Pith

Bernstein--Sato Theory for D-modules in Positive Characteristic

Receipt and verification

First computed	2026-05-18T03:07:02.204067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29169db0ddbefcf6335426b1b284a0cfdf0405bf3f4313054374243a761b4123

Aliases

arxiv: 1206.4039 · arxiv_version: 1206.4039v3 · doi: 10.48550/arxiv.1206.4039 · pith_short_12: FELJ3MG5X36P · pith_short_16: FELJ3MG5X36PMM2U · pith_short_8: FELJ3MG5

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/FELJ3MG5X36PMM2UE2Y3FBFAZ7 \
  | 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: 29169db0ddbefcf6335426b1b284a0cfdf0405bf3f4313054374243a761b4123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "391b9c054f16dc5cb6bd87249cb319299c0cf77f1fc3efb5e383d943220f2eef",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-18T19:54:35Z",
    "title_canon_sha256": "f64950dba0cfa20b6a5b1bbf4344012e905b6f50044de380ea07a71a6ae3f532"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4039",
    "kind": "arxiv",
    "version": 3
  }
}