Pith Number

pith:3RLQDMTU

pith:2008:3RLQDMTUHPF45S7EYBN2CFVTLX

not attested not anchored not stored refs pending

Local Fourier transform and epsilon factors

Ahmed Abbes, Takeshi Saito

arxiv:0809.0180 v2 · 2008-09-01 · math.AG · 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{3RLQDMTUHPF45S7EYBN2CFVTLX}

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	2026-05-18T04:33:48.584768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc5701b2743bcbcecbe4c05ba116b35df0951a4d4c56ac6c910e7289fe2a4680

Aliases

arxiv: 0809.0180 · arxiv_version: 0809.0180v2 · doi: 10.48550/arxiv.0809.0180 · pith_short_12: 3RLQDMTUHPF4 · pith_short_16: 3RLQDMTUHPF45S7E · pith_short_8: 3RLQDMTU

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/3RLQDMTUHPF45S7EYBN2CFVTLX \
  | 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: dc5701b2743bcbcecbe4c05ba116b35df0951a4d4c56ac6c910e7289fe2a4680

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "639f0723cc7e7d91efebe742c3ec9815649888587da79a1b1ce2193b4cbd110e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-09-01T07:07:20Z",
    "title_canon_sha256": "e1c085f4a958987e4620d1bfc7e6e76efe2fd869ae86d9fd98b7c4de15595d64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.0180",
    "kind": "arxiv",
    "version": 2
  }
}