Pith Number

pith:Z3HFC2WE

pith:2015:Z3HFC2WEORTARO4ZWG2PHFJEQP

not attested not anchored not stored refs pending

The second Dirichlet coefficient starts out negative

David W. Farmer, Sally Koutsoliotas

arxiv:1505.08015 v1 · 2015-05-29 · 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{Z3HFC2WEORTARO4ZWG2PHFJEQP}

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	2026-05-18T02:00:00.034957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cece516ac4746608bb99b1b4f3952483d66c841b7130e5b7d1abbfd280c830fa

Aliases

arxiv: 1505.08015 · arxiv_version: 1505.08015v1 · doi: 10.48550/arxiv.1505.08015 · pith_short_12: Z3HFC2WEORTA · pith_short_16: Z3HFC2WEORTARO4Z · pith_short_8: Z3HFC2WE

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/Z3HFC2WEORTARO4ZWG2PHFJEQP \
  | 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: cece516ac4746608bb99b1b4f3952483d66c841b7130e5b7d1abbfd280c830fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e0e4536b0a0c29be29b17baefbdc1ece62714aa3447352d4df366d370c5d62c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-29T12:28:14Z",
    "title_canon_sha256": "107c9e226a5acdb304f7d17fbbbd136694426975ab7be1ea5d7018d83d638470"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.08015",
    "kind": "arxiv",
    "version": 1
  }
}