Pith Number

pith:EQZOXLEN

pith:2003:EQZOXLENO7VW4KFT4B347SU4YO

not attested not anchored not stored refs pending

The minimal cardinality where the Reznichenko property fails

Boaz Tsaban

arxiv:math/0304024 v5 · 2003-04-02 · math.GN · math.CA · math.CO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EQZOXLENO7VW4KFT4B347SU4YO}

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	2026-05-18T04:37:23.187403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2432ebac8d77eb6e28b3e077cfca9cc38b085ad08082cb2436642c9b7dd9e773

Aliases

arxiv: math/0304024 · arxiv_version: math/0304024v5 · doi: 10.48550/arxiv.math/0304024 · pith_short_12: EQZOXLENO7VW · pith_short_16: EQZOXLENO7VW4KFT · pith_short_8: EQZOXLEN

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/EQZOXLENO7VW4KFT4B347SU4YO \
  | 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: 2432ebac8d77eb6e28b3e077cfca9cc38b085ad08082cb2436642c9b7dd9e773

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5b3a61881d4a4b970b6daecf05722623f7ef2904c20f04580a6c52552ab1563",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2003-04-02T16:05:41Z",
    "title_canon_sha256": "e6c5f1f28f2ebab10c57cddf83118bf4ae52b63b8c90f507b7cfcbb397e1e105"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304024",
    "kind": "arxiv",
    "version": 5
  }
}