Pith Number

pith:K4XBNDA7

pith:2015:K4XBNDA7C3RGMHDUVH5VU4HL4X

not attested not anchored not stored refs pending

The interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics

A. Geroldinger, K. Cziszter, M. Domokos

arxiv:1505.06059 v3 · 2015-05-22 · math.AC · 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{K4XBNDA7C3RGMHDUVH5VU4HL4X}

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	2026-05-18T01:11:35.313083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

572e168c1f16e2661c74a9fb5a70ebe5e2194dc6f9051bcca3b1da9e82275c0a

Aliases

arxiv: 1505.06059 · arxiv_version: 1505.06059v3 · doi: 10.48550/arxiv.1505.06059 · pith_short_12: K4XBNDA7C3RG · pith_short_16: K4XBNDA7C3RGMHDU · pith_short_8: K4XBNDA7

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/K4XBNDA7C3RGMHDUVH5VU4HL4X \
  | 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: 572e168c1f16e2661c74a9fb5a70ebe5e2194dc6f9051bcca3b1da9e82275c0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebd29d6cda80b1e4ad4bb795d6b9073bf81b4595c930f16b888cf341bc6f9bd7",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-05-22T13:09:34Z",
    "title_canon_sha256": "c8f6ab3a09b4b4efd42a835309fccddfbfcc62dcb4542bdd88f795caf6d4a618"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06059",
    "kind": "arxiv",
    "version": 3
  }
}