Pith Number

pith:N6XYPBNK

pith:2015:N6XYPBNKUXNNARRIRLFCUQIQQO

not attested not anchored not stored refs pending

Lifting Congruences to weight 3/2

Neil Dummigan, Srilakshmi Krishnamoorthy

arxiv:1504.03953 v1 · 2015-04-15 · 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{N6XYPBNKUXNNARRIRLFCUQIQQO}

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	2026-05-18T02:18:41.602597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6faf8785aaa5dad046288aca2a41108381b566e3a19be013bfbbff3b15762c64

Aliases

arxiv: 1504.03953 · arxiv_version: 1504.03953v1 · doi: 10.48550/arxiv.1504.03953 · pith_short_12: N6XYPBNKUXNN · pith_short_16: N6XYPBNKUXNNARRI · pith_short_8: N6XYPBNK

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/N6XYPBNKUXNNARRIRLFCUQIQQO \
  | 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: 6faf8785aaa5dad046288aca2a41108381b566e3a19be013bfbbff3b15762c64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bfd0ab7c9814b7cff68d2f918bf15709100c4a4f8a42a774b85e706877df449",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-15T15:45:32Z",
    "title_canon_sha256": "fae25cde41586b340e3cb1fd07366eadb5c9d81e10cb84acd3f1ddf1612b40a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03953",
    "kind": "arxiv",
    "version": 1
  }
}