Pith Number

pith:D473FULK

pith:2012:D473FULKT66C7VVW3BK4TKDN7V

not attested not anchored not stored refs pending

On a supercongruence conjecture of Rodriguez-Villegas

Dermot McCarthy

arxiv:1204.1575 v1 · 2012-04-06 · 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{D473FULKT66C7VVW3BK4TKDN7V}

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	2026-05-18T03:58:23.920611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f3fb2d16a9fbc2fd6b6d855c9a86dfd524f8b4cae6d7d890f984b87c309f392

Aliases

arxiv: 1204.1575 · arxiv_version: 1204.1575v1 · doi: 10.48550/arxiv.1204.1575 · pith_short_12: D473FULKT66C · pith_short_16: D473FULKT66C7VVW · pith_short_8: D473FULK

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/D473FULKT66C7VVW3BK4TKDN7V \
  | 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: 1f3fb2d16a9fbc2fd6b6d855c9a86dfd524f8b4cae6d7d890f984b87c309f392

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b56331ee29f5394f222c348ef9ae8e07f4df38c9d5571306e2367da8f4d810b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-06T22:23:37Z",
    "title_canon_sha256": "e95b19522383a2cb3854088e08e220988ef2f7fd7609c6f1ce2a3ed37afa514c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1575",
    "kind": "arxiv",
    "version": 1
  }
}