Pith Number

pith:QKCSTIE2

pith:2011:QKCSTIE2Q7UVO6R25AOQQNSH3R

not attested not anchored not stored refs pending

A generalization of supplemented modules

Yongduo Wang

arxiv:1108.3381 v1 · 2011-08-17 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKCSTIE2Q7UVO6R25AOQQNSH3R}

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	2026-05-18T04:15:18.125441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

828529a09a87e9577a3ae81d083647dc5fb12177cefc877217633b4b97e2f941

Aliases

arxiv: 1108.3381 · arxiv_version: 1108.3381v1 · doi: 10.48550/arxiv.1108.3381 · pith_short_12: QKCSTIE2Q7UV · pith_short_16: QKCSTIE2Q7UVO6R2 · pith_short_8: QKCSTIE2

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/QKCSTIE2Q7UVO6R25AOQQNSH3R \
  | 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: 828529a09a87e9577a3ae81d083647dc5fb12177cefc877217633b4b97e2f941

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4088e804f7010f0950f1b6afff71cc9958b04118965bf3935e220912f221160e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-08-17T01:59:22Z",
    "title_canon_sha256": "6374473c3b9076c61bf2bc3ddc7415a47992f38f5027650bb8323ab4e78fb736"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3381",
    "kind": "arxiv",
    "version": 1
  }
}