Pith Number

pith:KEF3KEWD

pith:2010:KEF3KEWDEBK6R65SATKV2CYL6P

not attested not anchored not stored refs pending

A new basis for the space of modular forms

Shinji Fukuhara

arxiv:1008.4008 v1 · 2010-08-24 · 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{KEF3KEWDEBK6R65SATKV2CYL6P}

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	2026-05-18T04:41:54.350093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

510bb512c32055e8fbb204d55d0b0bf3f3eec555d3be46a8330053e3660f4465

Aliases

arxiv: 1008.4008 · arxiv_version: 1008.4008v1 · doi: 10.48550/arxiv.1008.4008 · pith_short_12: KEF3KEWDEBK6 · pith_short_16: KEF3KEWDEBK6R65S · pith_short_8: KEF3KEWD

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/KEF3KEWDEBK6R65SATKV2CYL6P \
  | 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: 510bb512c32055e8fbb204d55d0b0bf3f3eec555d3be46a8330053e3660f4465

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb055d126136c244ad338bd894fd24e94c86796ea24b7fc62deb1fa09c3c56b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-24T10:53:51Z",
    "title_canon_sha256": "ebfc3316a827c13ba65927095da77c084bf21782073c35ec2020d03072fa1d20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4008",
    "kind": "arxiv",
    "version": 1
  }
}