Pith Number

pith:R2M2YXGL

pith:2015:R2M2YXGLVELCIPB2W4YMTSPDIZ

not attested not anchored not stored refs pending

The Rodriguez-Villegas type congruences for truncated q-hypergeometric functions

Hao Pan, Victor J. W. Guo, Yong Zhang

arxiv:1507.03107 v1 · 2015-07-11 · math.NT · 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{R2M2YXGLVELCIPB2W4YMTSPDIZ}

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	2026-05-18T01:36:59.672086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e99ac5ccba916243c3ab730c9c9e3465fac859fc29b0bb8f37436ab4d1b1e85

Aliases

arxiv: 1507.03107 · arxiv_version: 1507.03107v1 · doi: 10.48550/arxiv.1507.03107 · pith_short_12: R2M2YXGLVELC · pith_short_16: R2M2YXGLVELCIPB2 · pith_short_8: R2M2YXGL

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/R2M2YXGLVELCIPB2W4YMTSPDIZ \
  | 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: 8e99ac5ccba916243c3ab730c9c9e3465fac859fc29b0bb8f37436ab4d1b1e85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77e9cfbc2a60bddab3c54daa6a9950e9523635a252e79c0f412792e2c618caee",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-11T13:50:59Z",
    "title_canon_sha256": "e7d6aa80dd95f2018462a751107152d370bcd8a158efb6a94f0f934bb19e91fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03107",
    "kind": "arxiv",
    "version": 1
  }
}