Pith Number

pith:3NLC7X7Z

pith:2012:3NLC7X7ZWWWQOESJN4FTARGOPY

not attested not anchored not stored refs pending

On the variety of linear recurrences and numerical semigroups

Ivan Martino, Luca Martino

arxiv:1207.0111 v2 · 2012-06-30 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3NLC7X7ZWWWQOESJN4FTARGOPY}

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	2026-05-18T03:08:25.174527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db562fdff9b5ad0712496f0b3044ce7e37ff60b0b19b3270c1a436fc3017cdf2

Aliases

arxiv: 1207.0111 · arxiv_version: 1207.0111v2 · doi: 10.48550/arxiv.1207.0111 · pith_short_12: 3NLC7X7ZWWWQ · pith_short_16: 3NLC7X7ZWWWQOESJ · pith_short_8: 3NLC7X7Z

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/3NLC7X7ZWWWQOESJN4FTARGOPY \
  | 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: db562fdff9b5ad0712496f0b3044ce7e37ff60b0b19b3270c1a436fc3017cdf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18b5dddc5b7f08c05f8eeb96a8bf407bcdef63fa687771d8d8e77ccf2c253c08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-06-30T15:57:14Z",
    "title_canon_sha256": "df06313cc9f5aea6a309580a976e2dad6f79648eaca715fe514d95b176ca2416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0111",
    "kind": "arxiv",
    "version": 2
  }
}