Pith Number

pith:NE7ITTMZ

pith:2014:NE7ITTMZC3CISHSUVNUFTFCXSQ

not attested not anchored not stored refs pending

Position Vectors of Numerical Semigroups

James Hamblin, Lance Bryant

arxiv:1404.2629 v2 · 2014-04-09 · 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{NE7ITTMZC3CISHSUVNUFTFCXSQ}

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	2026-05-18T02:47:32.878835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

693e89cd9916c4891e54ab6859945794232b91a2b4eeda97ae1302a54ae3872a

Aliases

arxiv: 1404.2629 · arxiv_version: 1404.2629v2 · doi: 10.48550/arxiv.1404.2629 · pith_short_12: NE7ITTMZC3CI · pith_short_16: NE7ITTMZC3CISHSU · pith_short_8: NE7ITTMZ

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/NE7ITTMZC3CISHSUVNUFTFCXSQ \
  | 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: 693e89cd9916c4891e54ab6859945794232b91a2b4eeda97ae1302a54ae3872a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62c300e75213ec0704cbfbed3dba8c378bb7f26855a1bde3c6e94159e101ed48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-04-09T21:08:47Z",
    "title_canon_sha256": "c04dcd8c4388cc227cc52e39b81cc661bfa029bf7a2c86e38d8a231a1b66b393"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2629",
    "kind": "arxiv",
    "version": 2
  }
}