Pith Number

pith:JAHQWYSX

pith:2009:JAHQWYSXFMEIMNYPBHHFMIK5QU

not attested not anchored not stored refs pending

Universal deformation rings of modules over Frobenius algebras

Frauke M. Bleher, Jose A. Velez-Marulanda

arxiv:0911.1100 v2 · 2009-11-05 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JAHQWYSXFMEIMNYPBHHFMIK5QU}

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	2026-05-18T03:46:32.134176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

480f0b62572b0886370f09ce56215d8521d228a28f5db3fdd1c5becf4e2ac431

Aliases

arxiv: 0911.1100 · arxiv_version: 0911.1100v2 · doi: 10.48550/arxiv.0911.1100 · pith_short_12: JAHQWYSXFMEI · pith_short_16: JAHQWYSXFMEIMNYP · pith_short_8: JAHQWYSX

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/JAHQWYSXFMEIMNYPBHHFMIK5QU \
  | 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: 480f0b62572b0886370f09ce56215d8521d228a28f5db3fdd1c5becf4e2ac431

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "880e144c544f2c9ef0394786f0affd98f2bab43eb4595aa10099444702760696",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-11-05T18:54:03Z",
    "title_canon_sha256": "dc18e77f47cf5049715a49aebe95636f4876bb565efb42c302cf527b083861b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1100",
    "kind": "arxiv",
    "version": 2
  }
}