Pith Number

pith:TD5TWSKS

pith:2014:TD5TWSKSGSMVY6Z6WVE2CCPVFN

not attested not anchored not stored refs pending

An explicit approach to the Ahlgren-Ono conjecture

Geoffrey D. Smith, Lynnelle Ye

arxiv:1407.7285 v1 · 2014-07-27 · 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{TD5TWSKSGSMVY6Z6WVE2CCPVFN}

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	2026-05-18T02:46:23.421478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98fb3b495234995c7b3eb549a109f52b41cea0e21ad1bab24a817fafea289f33

Aliases

arxiv: 1407.7285 · arxiv_version: 1407.7285v1 · doi: 10.48550/arxiv.1407.7285 · pith_short_12: TD5TWSKSGSMV · pith_short_16: TD5TWSKSGSMVY6Z6 · pith_short_8: TD5TWSKS

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/TD5TWSKSGSMVY6Z6WVE2CCPVFN \
  | 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: 98fb3b495234995c7b3eb549a109f52b41cea0e21ad1bab24a817fafea289f33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01c6ffcc94bc63a8ddad28ed74c84fcc7d43a0115860a89b9eb7d622e696b425",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-27T21:23:08Z",
    "title_canon_sha256": "b86ec17a17a7617e7495074325d2f35eb5df8fa4ee540e3078869f661e71a95c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7285",
    "kind": "arxiv",
    "version": 1
  }
}