Pith Number

pith:YU4Z4J6Z

pith:2018:YU4Z4J6ZKEKPPEICWEIPIN6L6V

not attested not anchored not stored refs pending

Some $q$-congruences with parameters

Victor J. W. Guo

arxiv:1804.10963 v2 · 2018-04-29 · 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{YU4Z4J6ZKEKPPEICWEIPIN6L6V}

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	2026-05-17T23:58:14.322250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5399e27d95114f79102b110f437cbf56f97b3959864896f2480e21965707c61

Aliases

arxiv: 1804.10963 · arxiv_version: 1804.10963v2 · doi: 10.48550/arxiv.1804.10963 · pith_short_12: YU4Z4J6ZKEKP · pith_short_16: YU4Z4J6ZKEKPPEIC · pith_short_8: YU4Z4J6Z

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/YU4Z4J6ZKEKPPEICWEIPIN6L6V \
  | 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: c5399e27d95114f79102b110f437cbf56f97b3959864896f2480e21965707c61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea643018726cafed1f36837bd5790c3bf83bd51ca563cc9b4363c255cb8dca87",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-04-29T16:51:11Z",
    "title_canon_sha256": "d505a4b8dcdb866a4d34233c8ccf2d63adc8f0d437ca1a4fd4d2fefa953ed70b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10963",
    "kind": "arxiv",
    "version": 2
  }
}