Pith Number

pith:AENNUYGD

pith:2012:AENNUYGDYJRCM3UYIUXRWZNJFE

not attested not anchored not stored refs pending

Binomial Symbols and Prime Moduli

Jure Vogrinc, Manjil P. Saikia

arxiv:1209.2374 v1 · 2012-09-07 · 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{AENNUYGDYJRCM3UYIUXRWZNJFE}

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	2026-05-18T03:45:20.760018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

011ada60c3c262266e98452f1b65a929303acbaf7e12cc0c9e36a26cd802b712

Aliases

arxiv: 1209.2374 · arxiv_version: 1209.2374v1 · doi: 10.48550/arxiv.1209.2374 · pith_short_12: AENNUYGDYJRC · pith_short_16: AENNUYGDYJRCM3UY · pith_short_8: AENNUYGD

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/AENNUYGDYJRCM3UYIUXRWZNJFE \
  | 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: 011ada60c3c262266e98452f1b65a929303acbaf7e12cc0c9e36a26cd802b712

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04c7cc2aeaa76511e16d84e5d3ac64456aad181a67080beee91618e784baebe3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-07T07:47:50Z",
    "title_canon_sha256": "2d3ab7cd276bed74fde88e17e2c4bad23cb3d346719a7d1aadbf02f17ffabf8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2374",
    "kind": "arxiv",
    "version": 1
  }
}