Pith Number

pith:LA57VT6Q

pith:2015:LA57VT6QXC6ICKEI2LDVSDTPO7

not attested not anchored not stored refs pending

New polynomial and multidimensional extensions of classical partition results

Joel Moreira, John H. Johnson Jr., Vitaly Bergelson

arxiv:1501.02408 v2 · 2015-01-11 · 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{LA57VT6QXC6ICKEI2LDVSDTPO7}

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	2026-05-18T01:15:00.999555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

583bfacfd0b8bc812888d2c7590e6f77e8c11e8fa2bbdd9953fcfaf8a267a483

Aliases

arxiv: 1501.02408 · arxiv_version: 1501.02408v2 · doi: 10.48550/arxiv.1501.02408 · pith_short_12: LA57VT6QXC6I · pith_short_16: LA57VT6QXC6ICKEI · pith_short_8: LA57VT6Q

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/LA57VT6QXC6ICKEI2LDVSDTPO7 \
  | 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: 583bfacfd0b8bc812888d2c7590e6f77e8c11e8fa2bbdd9953fcfaf8a267a483

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38e9e1359ed90a15e4c84a8b70de8f6575728deacffc3adadb8e2fd8cbfdcf97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-11T00:53:50Z",
    "title_canon_sha256": "1d338f0d620d476b2fc5731ce59900b69aa92eff0b616207856c7d3016b3b3ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02408",
    "kind": "arxiv",
    "version": 2
  }
}