Pith Number

pith:F4TMXTXJ

pith:2019:F4TMXTXJJG7MS3YTNNX4TEZOOU

not attested not anchored not stored refs pending

Numerical Semigroups generated by Primes

Anton Rechenauer, Michael Hellus, Rolf Waldi

arxiv:1908.09483 v3 · 2019-08-26 · 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{F4TMXTXJJG7MS3YTNNX4TEZOOU}

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	2026-07-05T01:08:24.528139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f26cbcee949bec96f136b6fc9932e752a1954c78f98afdb0ffe85d818abf0f7

Aliases

arxiv: 1908.09483 · arxiv_version: 1908.09483v3 · doi: 10.48550/arxiv.1908.09483 · pith_short_12: F4TMXTXJJG7M · pith_short_16: F4TMXTXJJG7MS3YT · pith_short_8: F4TMXTXJ

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/F4TMXTXJJG7MS3YTNNX4TEZOOU \
  | 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: 2f26cbcee949bec96f136b6fc9932e752a1954c78f98afdb0ffe85d818abf0f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6dc03950a039c17f3d28730bc9a25da75970fe417355e03067ea2834675f266",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-26T05:54:26Z",
    "title_canon_sha256": "709f66c441bcaccb1c94f96434b1f642748638f7236fd6011044cb49ad651b1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09483",
    "kind": "arxiv",
    "version": 3
  }
}