Pith Number

pith:3S6G5EUH

pith:2013:3S6G5EUHO63HBAKZQG66AUKTDN

not attested not anchored not stored refs pending

Positive Limit-Fourier Transform of Farey Fractions

Johannes Singer

arxiv:1310.2709 v3 · 2013-10-10 · 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{3S6G5EUHO63HBAKZQG66AUKTDN}

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	2026-05-18T03:01:46.034611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcbc6e928777b670815981bde051531b41dc1b9447d2892ee311c2dfec55fabf

Aliases

arxiv: 1310.2709 · arxiv_version: 1310.2709v3 · doi: 10.48550/arxiv.1310.2709 · pith_short_12: 3S6G5EUHO63H · pith_short_16: 3S6G5EUHO63HBAKZ · pith_short_8: 3S6G5EUH

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/3S6G5EUHO63HBAKZQG66AUKTDN \
  | 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: dcbc6e928777b670815981bde051531b41dc1b9447d2892ee311c2dfec55fabf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a51e03c0b7fa10f1cdd6ca836237becc003b30e6c1705e8b1de7c438338c4163",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-10T06:03:47Z",
    "title_canon_sha256": "7ac12804721aac541a0f7b409bc8baa874e50638164996daa8f1ee6e0a0e3e79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2709",
    "kind": "arxiv",
    "version": 3
  }
}