Pith Number

pith:IDZZJG3O

pith:2011:IDZZJG3OJV6JS3X6NV6XEILMLI

not attested not anchored not stored refs pending

Z-graded weak modules and regularity

Chongying Dong, Nina Yu

arxiv:1104.2369 v1 · 2011-04-13 · math.QA · 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{IDZZJG3OJV6JS3X6NV6XEILMLI}

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	2026-05-18T02:02:32.420869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40f3949b6e4d7c996efe6d7d72216c5a0f5fceccc1c8c6ca7d443ae0737efde2

Aliases

arxiv: 1104.2369 · arxiv_version: 1104.2369v1 · doi: 10.48550/arxiv.1104.2369 · pith_short_12: IDZZJG3OJV6J · pith_short_16: IDZZJG3OJV6JS3X6 · pith_short_8: IDZZJG3O

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/IDZZJG3OJV6JS3X6NV6XEILMLI \
  | 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: 40f3949b6e4d7c996efe6d7d72216c5a0f5fceccc1c8c6ca7d443ae0737efde2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f09a000f1517cbbb166a9c835bfd736796f8cf5de7dfcbb7bc2ef7284df6cc69",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-04-13T03:43:55Z",
    "title_canon_sha256": "2cc0af70d463ebbf67298255855a404234e741bdb9a6b3cb29f46f45facd2d22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2369",
    "kind": "arxiv",
    "version": 1
  }
}