Pith Number

pith:4HIHXQQA

pith:2010:4HIHXQQAHCNPY3XI35JS5MJYZI

not attested not anchored not stored refs pending

Testing the functional equations of a high-degree Euler product

David W. Farmer, Nathan C. Ryan, Ralf Schmidt

arxiv:1011.1307 v1 · 2010-11-05 · 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{4HIHXQQAHCNPY3XI35JS5MJYZI}

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	2026-05-18T04:36:58.783253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1d07bc200389afc6ee8df532eb138ca3605ae714a5f0417f45b3bea25558733

Aliases

arxiv: 1011.1307 · arxiv_version: 1011.1307v1 · doi: 10.48550/arxiv.1011.1307 · pith_short_12: 4HIHXQQAHCNP · pith_short_16: 4HIHXQQAHCNPY3XI · pith_short_8: 4HIHXQQA

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/4HIHXQQAHCNPY3XI35JS5MJYZI \
  | 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: e1d07bc200389afc6ee8df532eb138ca3605ae714a5f0417f45b3bea25558733

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3e0b399543604904bcb8525433ecf00728e591497b34e27d5d2f2d109110f23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-11-05T01:53:30Z",
    "title_canon_sha256": "8c18ba86145f576de380def841c6da2c52aae9d2d733374ea1e5fa0259662019"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1307",
    "kind": "arxiv",
    "version": 1
  }
}