Pith Number

pith:LGZYH5WN

pith:2026:LGZYH5WNZR76SKW5QIJTNHODOP

not attested not anchored not stored refs pending

Fibonacci, Dirichlet, and Gauss in a single sum

Benoit Cloitre

arxiv:2607.20960 v1 · 2026-07-23 · 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{LGZYH5WNZR76SKW5QIJTNHODOP}

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	2026-07-24T01:23:44.278036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59b383f6cdcc7fe92add8213369dc373e776d373354b2b586da3b110aa5a8bba

Aliases

arxiv: 2607.20960 · arxiv_version: 2607.20960v1 · doi: 10.48550/arxiv.2607.20960 · pith_short_12: LGZYH5WNZR76 · pith_short_16: LGZYH5WNZR76SKW5 · pith_short_8: LGZYH5WN

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/LGZYH5WNZR76SKW5QIJTNHODOP \
  | 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: 59b383f6cdcc7fe92add8213369dc373e776d373354b2b586da3b110aa5a8bba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd99a465090b5221df5f2085decc01e5ba7fef25a59f10893e38a26f36dd130b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-23T06:37:50Z",
    "title_canon_sha256": "f4b261d147f1ac6c5c0f34b476a354f56d89385b714e4690ea80b7fd43cfe825"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20960",
    "kind": "arxiv",
    "version": 1
  }
}