Pith Number

pith:53NCL7U2

pith:2017:53NCL7U2K2XAP6F3273AT33OMR

not attested not anchored not stored refs pending

Erd\H{o}s-Ginzburg-Ziv theorem and Noether number for $C_m\ltimes_{\varphi} C_{mn}$

Dongchun Han, Hanbin Zhang

arxiv:1707.03639 v2 · 2017-07-12 · math.CO · math.AC · math.NT · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53NCL7U2K2XAP6F3273AT33OMR}

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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	2026-05-18T00:00:02.539653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeda25fe9a56ae07f8bbd7f609ef6e646345aa2838fe3e19250b39949bc1f418

Aliases

arxiv: 1707.03639 · arxiv_version: 1707.03639v2 · doi: 10.48550/arxiv.1707.03639 · pith_short_12: 53NCL7U2K2XA · pith_short_16: 53NCL7U2K2XAP6F3 · pith_short_8: 53NCL7U2

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/53NCL7U2K2XAP6F3273AT33OMR \
  | 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: eeda25fe9a56ae07f8bbd7f609ef6e646345aa2838fe3e19250b39949bc1f418

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ef103fead20a0831c98db67b931b8d9afafc45458dc42ae5ba3903a09cf48d3",
    "cross_cats_sorted": [
      "math.AC",
      "math.NT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-12T10:43:40Z",
    "title_canon_sha256": "c56f3086cd50ce841df44c9dd85fa7b07eba2784019b9d6291c5c8be1efd6a4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03639",
    "kind": "arxiv",
    "version": 2
  }
}