Pith Number

pith:ORNQDFPN

pith:2011:ORNQDFPNWKFXPLAI5OHJZ4JI2H

not attested not anchored not stored refs pending

Some supercongruences modulo $p^2$

Zhi-Hong Sun

arxiv:1101.1050 v1 · 2011-01-05 · 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{ORNQDFPNWKFXPLAI5OHJZ4JI2H}

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	2026-05-18T04:32:00.965147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

745b0195edb28b77ac08eb8e9cf128d1ecf75e5cd2d6e6535da6bd93560ad0e1

Aliases

arxiv: 1101.1050 · arxiv_version: 1101.1050v1 · doi: 10.48550/arxiv.1101.1050 · pith_short_12: ORNQDFPNWKFX · pith_short_16: ORNQDFPNWKFXPLAI · pith_short_8: ORNQDFPN

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/ORNQDFPNWKFXPLAI5OHJZ4JI2H \
  | 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: 745b0195edb28b77ac08eb8e9cf128d1ecf75e5cd2d6e6535da6bd93560ad0e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8fca87438fd9a7d49e371afef216205669c3496cd91ec67925d0cd4c72a1ec7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-01-05T19:08:46Z",
    "title_canon_sha256": "ea906673a9bb160e6d9d799171a55d0a8671be4efddb0b6671779f928662b289"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1050",
    "kind": "arxiv",
    "version": 1
  }
}