Pith Number

pith:SDZPHAE4

pith:2017:SDZPHAE4WVZLNWNMAQ5766I3CQ

not attested not anchored not stored refs pending

An in-Depth Look at Quotient Modules

Lars Kadison

arxiv:1705.06613 v5 · 2017-05-18 · 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{SDZPHAE4WVZLNWNMAQ5766I3CQ}

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	2026-05-18T00:33:18.124102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90f2f3809cb572b6d9ac043bff791b140a366b613ce5a56b024c7a55f96fe81b

Aliases

arxiv: 1705.06613 · arxiv_version: 1705.06613v5 · doi: 10.48550/arxiv.1705.06613 · pith_short_12: SDZPHAE4WVZL · pith_short_16: SDZPHAE4WVZLNWNM · pith_short_8: SDZPHAE4

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/SDZPHAE4WVZLNWNMAQ5766I3CQ \
  | 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: 90f2f3809cb572b6d9ac043bff791b140a366b613ce5a56b024c7a55f96fe81b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "441a4dbe0b923349a4e1fb32d9f1d1182e66f4084e1bf20c6baa11f4bc4af799",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2017-05-18T14:22:41Z",
    "title_canon_sha256": "769f13c5dcbeea92479f72fa4a9abf446b18d13b57abf55532aae39249123f6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06613",
    "kind": "arxiv",
    "version": 5
  }
}