Pith Number

pith:KU6FYXGA

pith:2017:KU6FYXGAG7U5ZEBH3KBSTOYTKI

not attested not anchored not stored refs pending

Ap\'ery sets of shifted numerical monoids

Christopher O'Neill, Roberto Pelayo

arxiv:1708.09527 v2 · 2017-08-31 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KU6FYXGAG7U5ZEBH3KBSTOYTKI}

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	2026-05-18T00:08:15.988323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

553c5c5cc037e9dc9027da8329bb13522f47f5603411fd2d749786a784e96cc4

Aliases

arxiv: 1708.09527 · arxiv_version: 1708.09527v2 · doi: 10.48550/arxiv.1708.09527 · pith_short_12: KU6FYXGAG7U5 · pith_short_16: KU6FYXGAG7U5ZEBH · pith_short_8: KU6FYXGA

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/KU6FYXGAG7U5ZEBH3KBSTOYTKI \
  | 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: 553c5c5cc037e9dc9027da8329bb13522f47f5603411fd2d749786a784e96cc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c00be526252d401b70b5a9db4e3fdd9b2e49f64ad3134090070bd9083a440af",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-08-31T01:38:49Z",
    "title_canon_sha256": "2c562724eb96409c5ba9e6e6c427b350b0c0aa3794e4eb282b446b9a989657cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09527",
    "kind": "arxiv",
    "version": 2
  }
}