Pith Number

pith:OCUIFPN7

pith:2026:OCUIFPN7PHKXAHFLB4SQXYT4WB

not attested not anchored not stored refs pending

On the Sharpness of Khovanskii's Bezout-type Bound for Pfaffian Functions

Abhiram Natarajan, Dominic Le-Mar, Joseph Harrison, Nadia Potter, Olivia Hornakova, Terence Bickerton

arxiv:2606.24373 v1 · 2026-06-23 · math.AG · math.CA · 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{OCUIFPN7PHKXAHFLB4SQXYT4WB}

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	2026-06-24T01:15:28.849725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70a882bdbf79d5701cab0f250be27cb04dea17fc32bddacf987bf9c6838d97c1

Aliases

arxiv: 2606.24373 · arxiv_version: 2606.24373v1 · doi: 10.48550/arxiv.2606.24373 · pith_short_12: OCUIFPN7PHKX · pith_short_16: OCUIFPN7PHKXAHFL · pith_short_8: OCUIFPN7

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/OCUIFPN7PHKXAHFLB4SQXYT4WB \
  | 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: 70a882bdbf79d5701cab0f250be27cb04dea17fc32bddacf987bf9c6838d97c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "380550f80fc5c82e69b248f0641d0446e47ca95aa0a365a127107011a9e2c85f",
    "cross_cats_sorted": [
      "math.CA",
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-23T10:06:03Z",
    "title_canon_sha256": "b36a74b05b8d57184c98593a8dfc030e9d62c95649f22304e377ffec8100594e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24373",
    "kind": "arxiv",
    "version": 1
  }
}