Pith Number

pith:AYE4MAXD

pith:2010:AYE4MAXDCGSCJZECPB5HFSMJYT

not attested not anchored not stored refs pending

L-functions of $S_3(\G_2(2,4,8))$

Takeo Okazaki

arxiv:1008.1602 v1 · 2010-08-09 · 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{AYE4MAXDCGSCJZECPB5HFSMJYT}

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	2026-05-18T04:42:23.727801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0609c602e311a424e482787a72c989c4d0201ae3afe4582c5671a388746fe4b8

Aliases

arxiv: 1008.1602 · arxiv_version: 1008.1602v1 · doi: 10.48550/arxiv.1008.1602 · pith_short_12: AYE4MAXDCGSC · pith_short_16: AYE4MAXDCGSCJZEC · pith_short_8: AYE4MAXD

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/AYE4MAXDCGSCJZECPB5HFSMJYT \
  | 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: 0609c602e311a424e482787a72c989c4d0201ae3afe4582c5671a388746fe4b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2172e18bec01ac6bb487e8b9d2ce41c7634c75806ef95ee127af1fcb5bdbd825",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-09T22:20:47Z",
    "title_canon_sha256": "45670717d324d50802ecc990f7aaa79900027fa98b466435a2f486bb9fa57f2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1602",
    "kind": "arxiv",
    "version": 1
  }
}