Pith Number

pith:ANNYCZJV

pith:1994:ANNYCZJV6BOSJ3K7P4QMQ3646E

not attested not anchored not stored refs pending

Special functions associated with root systems: recent progress

Tom H. Koornwinder

arxiv:math/9411227 v1 · 1994-11-21 · math.CA · 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{ANNYCZJV6BOSJ3K7P4QMQ3646E}

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	2026-05-18T01:05:50.824621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

035b816535f05d24ed5f7f20c86fdcf12c029d761cac72964f8d9ffb45b37be9

Aliases

arxiv: math/9411227 · arxiv_version: math/9411227v1 · doi: 10.48550/arxiv.math/9411227 · pith_short_12: ANNYCZJV6BOS · pith_short_16: ANNYCZJV6BOSJ3K7 · pith_short_8: ANNYCZJV

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/ANNYCZJV6BOSJ3K7P4QMQ3646E \
  | 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: 035b816535f05d24ed5f7f20c86fdcf12c029d761cac72964f8d9ffb45b37be9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16fc7783951e6a543b65bcd411d329ca0bbf7484200745fd2b5866371364b66a",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "1994-11-21T00:00:00Z",
    "title_canon_sha256": "0ddf7b76f8d1ecd7f9719ab47d5ba802d9f3ff3a2d88c59b1aedfb3b368c79a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9411227",
    "kind": "arxiv",
    "version": 1
  }
}