Pith Number

pith:WWIT7KFO

pith:2016:WWIT7KFOWN6VOFNVOVO4QT6IID

not attested not anchored not stored refs pending

Hypergeometric $\tau$ Functions of the $q$-Painlev\'e Systems of Types $A_4^{(1)}$ and $(A_1+A_1')^{(1)}$

Nobutaka Nakazono

arxiv:1601.05327 v3 · 2016-01-19 · nlin.SI · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WWIT7KFOWN6VOFNVOVO4QT6IID}

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	2026-05-18T01:14:20.565403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5913fa8aeb37d5715b5755dc84fc840df19079a2e6a5fd3d73f69d35702491a

Aliases

arxiv: 1601.05327 · arxiv_version: 1601.05327v3 · doi: 10.48550/arxiv.1601.05327 · pith_short_12: WWIT7KFOWN6V · pith_short_16: WWIT7KFOWN6VOFNV · pith_short_8: WWIT7KFO

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/WWIT7KFOWN6VOFNVOVO4QT6IID \
  | 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: b5913fa8aeb37d5715b5755dc84fc840df19079a2e6a5fd3d73f69d35702491a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d87a6debf19d393b67bc915279d55a58341ff0b584fe9bbb56673c9d905e7876",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2016-01-19T03:35:23Z",
    "title_canon_sha256": "a5e8ef7aae2866a5c203313f79fef2607c60d8f6d166641246ca6da443b7e4fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05327",
    "kind": "arxiv",
    "version": 3
  }
}