Pith Number

pith:7RDLNNM2

pith:2026:7RDLNNM2AUPXECN6S6WYBOZB3G

not attested not anchored not stored refs pending

The location of the largest exponential spacing and Euler's generalized pentagonal numbers

Norbert Henze

arxiv:2606.23547 v1 · 2026-06-22 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7RDLNNM2AUPXECN6S6WYBOZB3G}

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	2026-06-23T03:14:29.691738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc46b6b59a051f7209be97ad80bb21d98e5e823e32321997e5901bd47031dd9f

Aliases

arxiv: 2606.23547 · arxiv_version: 2606.23547v1 · doi: 10.48550/arxiv.2606.23547 · pith_short_12: 7RDLNNM2AUPX · pith_short_16: 7RDLNNM2AUPXECN6 · pith_short_8: 7RDLNNM2

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/7RDLNNM2AUPXECN6S6WYBOZB3G \
  | 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: fc46b6b59a051f7209be97ad80bb21d98e5e823e32321997e5901bd47031dd9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "582b733e142d161806061b2943a2412c12de953e6b44078658be386518b592b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-22T16:21:26Z",
    "title_canon_sha256": "6a038603b75c5d5959388145b0b2fd534321a00a079548f43e5bdf8edd6040ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23547",
    "kind": "arxiv",
    "version": 1
  }
}