Pith Number

pith:S6DV5ZPS

pith:2019:S6DV5ZPSDVJSUPRU3GEFIXKVUN

not attested not anchored not stored refs pending

On $q$-analogues Arising from Elliptic Integrals and the Arithmetic-Geometric Mean

Mario DeFranco

arxiv:1906.10295 v1 · 2019-06-25 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S6DV5ZPSDVJSUPRU3GEFIXKVUN}

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	2026-05-17T23:42:31.707547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97875ee5f21d532a3e34d988545d55a36b3a2d75c129748bd21510828a8ba7b6

Aliases

arxiv: 1906.10295 · arxiv_version: 1906.10295v1 · doi: 10.48550/arxiv.1906.10295 · pith_short_12: S6DV5ZPSDVJS · pith_short_16: S6DV5ZPSDVJSUPRU · pith_short_8: S6DV5ZPS

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/S6DV5ZPSDVJSUPRU3GEFIXKVUN \
  | 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: 97875ee5f21d532a3e34d988545d55a36b3a2d75c129748bd21510828a8ba7b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4916906f4c2e97e2ddcf62144671803c18fc37dce153e2edeb932c2a8901e07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-25T02:18:03Z",
    "title_canon_sha256": "bbed97eacddcd65b0e7772db58038de8a4ef08b369e9e11a460d59611b6a1115"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10295",
    "kind": "arxiv",
    "version": 1
  }
}