Pith Number

pith:KRUDZY5I

pith:2015:KRUDZY5IJKMODJPEDEKDDJOFRZ

not attested not anchored not stored refs pending

A generalization of sumsets modulo a prime

Francesco Monopoli

arxiv:1501.06533 v2 · 2015-01-26 · math.NT · 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{KRUDZY5IJKMODJPEDEKDDJOFRZ}

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	2026-05-18T02:19:52.350250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54683ce3a84a98e1a5e4191431a5c58e446cd17b1d7ebf6f3d74c20c0008bc4f

Aliases

arxiv: 1501.06533 · arxiv_version: 1501.06533v2 · doi: 10.48550/arxiv.1501.06533 · pith_short_12: KRUDZY5IJKMO · pith_short_16: KRUDZY5IJKMODJPE · pith_short_8: KRUDZY5I

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/KRUDZY5IJKMODJPEDEKDDJOFRZ \
  | 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: 54683ce3a84a98e1a5e4191431a5c58e446cd17b1d7ebf6f3d74c20c0008bc4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df512f38862911afedfb8f2389ffa6cd5780cff104ddfcefafe92857dcf128dd",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-01-26T19:29:13Z",
    "title_canon_sha256": "494860c2b8283bf900a27dd3bde77c3fbc515cc9c40c7c784e8456307b3d18d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06533",
    "kind": "arxiv",
    "version": 2
  }
}