Pith Number

pith:J7M3QHWM

pith:2014:J7M3QHWMNCOHAPYSRRKGHZRNXR

not attested not anchored not stored refs pending

Some q-analogues of (super)congruences of Beukers, Van Hamme and Rodriguez-Villegas

Jiang Zeng, Victor J. W. Guo

arxiv:1408.0512 v1 · 2014-08-03 · 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{J7M3QHWMNCOHAPYSRRKGHZRNXR}

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	2026-05-18T02:45:56.883440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fd9b81ecc689c703f128c5463e62dbc762a54f88e1b362121b99e9065fc4c49

Aliases

arxiv: 1408.0512 · arxiv_version: 1408.0512v1 · doi: 10.48550/arxiv.1408.0512 · pith_short_12: J7M3QHWMNCOH · pith_short_16: J7M3QHWMNCOHAPYS · pith_short_8: J7M3QHWM

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/J7M3QHWMNCOHAPYSRRKGHZRNXR \
  | 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: 4fd9b81ecc689c703f128c5463e62dbc762a54f88e1b362121b99e9065fc4c49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5c6de2e49af07a3303eb728eddda04b7f49311411639feb430a178deaae3693",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-08-03T17:03:06Z",
    "title_canon_sha256": "20f094fec99e2e4cf1ab30356e87c527b983c562c30f1960908865cc143a2b4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0512",
    "kind": "arxiv",
    "version": 1
  }
}