Pith Number

pith:ECKWQIPT

pith:2022:ECKWQIPTJCVGIC6VHBJ2XHIQBG

not attested not anchored not stored refs pending

Generic curves and non-coprime Catalans

Alexei Oblomkov, Eugene Gorsky, Mikhail Mazin

arxiv:2210.12569 v2 · 2022-10-22 · math.AG · 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{ECKWQIPTJCVGIC6VHBJ2XHIQBG}

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	2026-07-05T08:34:46.335912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20956821f348aa640bd53853ab9d100980ff7f95a2db5bfb2d80c97a7be05261

Aliases

arxiv: 2210.12569 · arxiv_version: 2210.12569v2 · doi: 10.48550/arxiv.2210.12569 · pith_short_12: ECKWQIPTJCVG · pith_short_16: ECKWQIPTJCVGIC6V · pith_short_8: ECKWQIPT

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/ECKWQIPTJCVGIC6VHBJ2XHIQBG \
  | 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: 20956821f348aa640bd53853ab9d100980ff7f95a2db5bfb2d80c97a7be05261

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69b9deb10345c79176839d04c164a2c0ee1b4b4674cae753c44c5cae983d33a7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-10-22T23:12:54Z",
    "title_canon_sha256": "60e4c7edaaf4d745b07e60582fa20557c9d4f3c948e87ddf628a1b357ac22233"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.12569",
    "kind": "arxiv",
    "version": 2
  }
}