Pith Number

pith:AYFAS6CO

pith:2016:AYFAS6COHZ4ETSWEIVMV6BCF75

not attested not anchored not stored refs pending

$3nj$-symbols and identities for $q$-Bessel functions

Wolter Groenevelt

arxiv:1612.09196 v2 · 2016-12-29 · 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{AYFAS6COHZ4ETSWEIVMV6BCF75}

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	2026-05-18T00:24:22.698089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

060a09784e3e7849cac445595f0445ff516768134830f9c478e111d0f1322253

Aliases

arxiv: 1612.09196 · arxiv_version: 1612.09196v2 · doi: 10.48550/arxiv.1612.09196 · pith_short_12: AYFAS6COHZ4E · pith_short_16: AYFAS6COHZ4ETSWE · pith_short_8: AYFAS6CO

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/AYFAS6COHZ4ETSWEIVMV6BCF75 \
  | 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: 060a09784e3e7849cac445595f0445ff516768134830f9c478e111d0f1322253

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcd20b616292abfe5a60bed8714a464ee756d675caed747c302b5b02fd87ce74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-12-29T16:46:45Z",
    "title_canon_sha256": "a11dfc9598ca85329ec3ec4f7506c53536f5c66d997748c61285a22f456ee218"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09196",
    "kind": "arxiv",
    "version": 2
  }
}