Pith Number

pith:PUYBIJ7A

pith:2022:PUYBIJ7ARR2BGNKCW7QXYUBDE2

not attested not anchored not stored refs pending

Quasi-linear relation between partition and analytic rank

Daniel G. Zhu, Guy Moshkovitz

arxiv:2211.05780 v2 · 2022-11-10 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PUYBIJ7ARR2BGNKCW7QXYUBDE2}

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.

Cited by

2 papers in Pith

Randomly piercing algebraic sets

Geometry of multilinear varieties over infinite fields and its applications

Receipt and verification

First computed	2026-07-05T09:29:23.314389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d301427e08c74133542b7e17c5023268d382b387d5f2611af5724f88bff49f2

Aliases

arxiv: 2211.05780 · arxiv_version: 2211.05780v2 · doi: 10.48550/arxiv.2211.05780 · pith_short_12: PUYBIJ7ARR2B · pith_short_16: PUYBIJ7ARR2BGNKC · pith_short_8: PUYBIJ7A

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/PUYBIJ7ARR2BGNKCW7QXYUBDE2 \
  | 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: 7d301427e08c74133542b7e17c5023268d382b387d5f2611af5724f88bff49f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b20fe24ad91b237cbf0271971f4dbeefedeae2d5cc5acb8431561711ba8f6c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-11-10T18:59:40Z",
    "title_canon_sha256": "a9d30e9154f55700a7c2cc06ea278eaa07c1339ee2f23dbd68adcedbc12a6b1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.05780",
    "kind": "arxiv",
    "version": 2
  }
}