Pith Number

pith:7NWV7JB4

pith:2009:7NWV7JB4KW3SFCDJ4VGITWQ4Y3

not attested not anchored not stored refs pending

Remarks on a generalization of the Davenport constant

Michael Freeze, Wolfgang A. Schmid

arxiv:0905.4248 v2 · 2009-05-26 · math.NT · 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{7NWV7JB4KW3SFCDJ4VGITWQ4Y3}

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	2026-05-18T04:42:36.192164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb6d5fa43c55b7228869e54c89da1cc6d969837da325ce1b67a32348b9054a02

Aliases

arxiv: 0905.4248 · arxiv_version: 0905.4248v2 · doi: 10.48550/arxiv.0905.4248 · pith_short_12: 7NWV7JB4KW3S · pith_short_16: 7NWV7JB4KW3SFCDJ · pith_short_8: 7NWV7JB4

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/7NWV7JB4KW3SFCDJ4VGITWQ4Y3 \
  | 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: fb6d5fa43c55b7228869e54c89da1cc6d969837da325ce1b67a32348b9054a02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36d036c1f4807a70fccbf019d57941ee771d3c12a1d319cc8ebd3d5621fe0ce8",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-05-26T17:27:45Z",
    "title_canon_sha256": "f3335c23008e19e962d0f2d30fc843a80ab070de65914d9235ae15c23be81a35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.4248",
    "kind": "arxiv",
    "version": 2
  }
}