Pith Number

pith:2AW55WWG

pith:2010:2AW55WWGS5PJRNCKNQG5CLWQVB

not attested not anchored not stored refs pending

On the Davenport constant and on the structure of extremal zero-sum free sequences

Alfred Geroldinger, Andreas Philipp, Manfred Liebmann

arxiv:1009.5835 v1 · 2010-09-29 · 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{2AW55WWGS5PJRNCKNQG5CLWQVB}

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	2026-05-18T04:40:08.809066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d02ddedac6975e98b44a6c0dd12ed0a87f00566980ed5ec6c0a08b3ab1ec922b

Aliases

arxiv: 1009.5835 · arxiv_version: 1009.5835v1 · doi: 10.48550/arxiv.1009.5835 · pith_short_12: 2AW55WWGS5PJ · pith_short_16: 2AW55WWGS5PJRNCK · pith_short_8: 2AW55WWG

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/2AW55WWGS5PJRNCKNQG5CLWQVB \
  | 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: d02ddedac6975e98b44a6c0dd12ed0a87f00566980ed5ec6c0a08b3ab1ec922b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d76f90dda094b3c01e75204cf362e86583d4219dd7a2acdcbcc33c5f9efd78e7",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-29T10:43:06Z",
    "title_canon_sha256": "2915262ad434a5b298244aed214248194e9de3146510bfcdfe9d6b0cd452f2df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5835",
    "kind": "arxiv",
    "version": 1
  }
}