Pith Number

pith:BE3CDUYK

pith:2011:BE3CDUYKG5BNVZGLEIR2L4HBD3

not attested not anchored not stored refs pending

Rapid computation of L-functions for modular forms

Pankaj Vishe

arxiv:1108.4887 v2 · 2011-08-24 · 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{BE3CDUYKG5BNVZGLEIR2L4HBD3}

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	2026-05-18T03:56:24.216940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

093621d30a3742dae4cb2223a5f0e11ecf13a989b7f0ffc2e616014e3b6bc293

Aliases

arxiv: 1108.4887 · arxiv_version: 1108.4887v2 · doi: 10.48550/arxiv.1108.4887 · pith_short_12: BE3CDUYKG5BN · pith_short_16: BE3CDUYKG5BNVZGL · pith_short_8: BE3CDUYK

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/BE3CDUYKG5BNVZGLEIR2L4HBD3 \
  | 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: 093621d30a3742dae4cb2223a5f0e11ecf13a989b7f0ffc2e616014e3b6bc293

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b05cdf73096acd8b0290d8f0b87e5978c6935fc949b1a33bb61ea08fce0a2a81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-24T17:09:42Z",
    "title_canon_sha256": "5f0626c0e2f92cde03939b464621735d572328f9406cd83574597952a061483a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4887",
    "kind": "arxiv",
    "version": 2
  }
}