Pith Number

pith:VQA7O5DS

pith:2019:VQA7O5DSRRUG5L3A5O6ENNFAN7

not attested not anchored not stored refs pending

A $q$-analogue of Wilson's congruence

Hao Pan, Yu-Chen Sun

arxiv:1904.08857 v1 · 2019-04-18 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQA7O5DSRRUG5L3A5O6ENNFAN7}

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	2026-05-17T23:48:12.738215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac01f774728c686eaf60ebbc46b4a06fd10e9d9a52d772f5c9b406c8c7b3fed8

Aliases

arxiv: 1904.08857 · arxiv_version: 1904.08857v1 · doi: 10.48550/arxiv.1904.08857 · pith_short_12: VQA7O5DSRRUG · pith_short_16: VQA7O5DSRRUG5L3A · pith_short_8: VQA7O5DS

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/VQA7O5DSRRUG5L3A5O6ENNFAN7 \
  | 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: ac01f774728c686eaf60ebbc46b4a06fd10e9d9a52d772f5c9b406c8c7b3fed8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a603773b1532b05fae162a0e95ce8721a5f507d7ddc3f469556b323ab4117c7d",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-04-18T15:57:15Z",
    "title_canon_sha256": "7ee63780e2f41a6de2c70bc0f3d346de0a3bfc0c280236acfe5b2821a0164b3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.08857",
    "kind": "arxiv",
    "version": 1
  }
}