Pith Number

pith:J4VGYDY2

pith:1996:J4VGYDY2KY47222KH5ORAW7MKI

not attested not anchored not stored refs pending

Special functions and q-commuting variables

Tom H. Koornwinder

arxiv:q-alg/9608008 v2 · 1996-08-13 · q-alg · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4VGYDY2KY47222KH5ORAW7MKI}

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.

Cited by

1 paper in Pith

The $\mu$-extension of iterated integrals and nested sums

Receipt and verification

First computed	2026-07-04T15:08:18.680469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f2a6c0f1a5639fd6b4a3f5d105bec523b3ec96491e980a141d996994a4ce484

Aliases

arxiv: q-alg/9608008 · arxiv_version: q-alg/9608008v2 · doi: 10.48550/arxiv.q-alg/9608008 · pith_short_12: J4VGYDY2KY47 · pith_short_16: J4VGYDY2KY47222K · pith_short_8: J4VGYDY2

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/J4VGYDY2KY47222KH5ORAW7MKI \
  | 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: 4f2a6c0f1a5639fd6b4a3f5d105bec523b3ec96491e980a141d996994a4ce484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f08b34425483577d3ad2c4956556f52f4444fa51ec814a21bd2c6a7ca5df861",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "q-alg",
    "submitted_at": "1996-08-13T12:29:15Z",
    "title_canon_sha256": "454f507a9ab6cfa816caaaeb42508deca4b732a66b6aa60ef91eba1f8365bf65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-alg/9608008",
    "kind": "arxiv",
    "version": 2
  }
}