Pith Number

pith:CPUUIJEA

pith:2009:CPUUIJEAKPXPJN6GWHG25I4YAE

not attested not anchored not stored refs pending

On the Davenport constant and group algebras

Daniel Smertnig

arxiv:0907.4913 v2 · 2009-07-28 · math.CO · 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{CPUUIJEAKPXPJN6GWHG25I4YAE}

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	2026-05-18T04:32:22.139518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13e944248053eef4b7c6b1cdaea398011c516abdb74c525f369a979612b9b0ef

Aliases

arxiv: 0907.4913 · arxiv_version: 0907.4913v2 · doi: 10.48550/arxiv.0907.4913 · pith_short_12: CPUUIJEAKPXP · pith_short_16: CPUUIJEAKPXPJN6G · pith_short_8: CPUUIJEA

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/CPUUIJEAKPXPJN6GWHG25I4YAE \
  | 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: 13e944248053eef4b7c6b1cdaea398011c516abdb74c525f369a979612b9b0ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c759187e4be2777456b619e8fe32a55979e3d63f8ae003d95da0739d9a35a0ad",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-07-28T13:27:17Z",
    "title_canon_sha256": "9f4ff52c783096f5774af545441317015ddd59c8340c2c92801b60204c83cd68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4913",
    "kind": "arxiv",
    "version": 2
  }
}