Pith Number

pith:E4FZAKFZ

pith:2019:E4FZAKFZWTSCCM67GPLWS3EHMJ

not attested not anchored not stored refs pending

Hook inequalities

Fedor Petrov, Igor Pak, Viacheslav Sokolov

arxiv:1903.11828 v2 · 2019-03-28 · 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{E4FZAKFZWTSCCM67GPLWS3EHMJ}

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	2026-05-17T23:49:54.698293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

270b9028b9b4e42133df33d7696c87626899fcb2cbcc600b4cde90ea5008e969

Aliases

arxiv: 1903.11828 · arxiv_version: 1903.11828v2 · doi: 10.48550/arxiv.1903.11828 · pith_short_12: E4FZAKFZWTSC · pith_short_16: E4FZAKFZWTSCCM67 · pith_short_8: E4FZAKFZ

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/E4FZAKFZWTSCCM67GPLWS3EHMJ \
  | 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: 270b9028b9b4e42133df33d7696c87626899fcb2cbcc600b4cde90ea5008e969

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "355b817814459d371c328c198a62dd83a0187418b3e73fcd83cad135a491b1bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-28T08:17:53Z",
    "title_canon_sha256": "89529a8410136f78d41e5996f8efcf1b39a375990941d260b185f2b9c1d8c1dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.11828",
    "kind": "arxiv",
    "version": 2
  }
}