Pith Number

pith:SB72AAF3

pith:2012:SB72AAF3A2DSGIGVPST4OHLVFN

not attested not anchored not stored refs pending

Special values of anticyclotomic L-functions for modular forms

Masataka Chida, Ming-Lun Hsieh

arxiv:1204.2427 v3 · 2012-04-11 · 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{SB72AAF3A2DSGIGVPST4OHLVFN}

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	2026-05-18T01:36:21.280735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

907fa000bb06872320d57ca7c71d752b52580d4c5ff15592e030971852b70165

Aliases

arxiv: 1204.2427 · arxiv_version: 1204.2427v3 · doi: 10.48550/arxiv.1204.2427 · pith_short_12: SB72AAF3A2DS · pith_short_16: SB72AAF3A2DSGIGV · pith_short_8: SB72AAF3

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/SB72AAF3A2DSGIGVPST4OHLVFN \
  | 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: 907fa000bb06872320d57ca7c71d752b52580d4c5ff15592e030971852b70165

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c68f6ef87abee1bf553cd28050cf93c2bada0ac0078ee3f07f077f917765fe6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-11T12:20:08Z",
    "title_canon_sha256": "6ba28e314ed218c16cdc18e8839c4ec0c6337aa9a58a8c7c6d3e09edacd4db8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2427",
    "kind": "arxiv",
    "version": 3
  }
}