Pith Number

pith:IOQII4QR

pith:2026:IOQII4QRNHPLYS6Q2ZQHATLJ73

not attested not anchored not stored refs pending

Khovanskii's Bezout-type Theorem for Pfaffian Functions: A Self-Contained Proof, and Applications

Abhiram Natarajan, Martin Lotz

arxiv:2607.29267 v1 · 2026-07-31 · 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{IOQII4QRNHPLYS6Q2ZQHATLJ73}

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	2026-08-03T01:23:07.642648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43a084721169debc4bd0d660704d69fef841bfa4c6f99d1b844d562057d9701c

Aliases

arxiv: 2607.29267 · arxiv_version: 2607.29267v1 · doi: 10.48550/arxiv.2607.29267 · pith_short_12: IOQII4QRNHPL · pith_short_16: IOQII4QRNHPLYS6Q · pith_short_8: IOQII4QR

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/IOQII4QRNHPLYS6Q2ZQHATLJ73 \
  | 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: 43a084721169debc4bd0d660704d69fef841bfa4c6f99d1b844d562057d9701c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90a7104448de262f0a6438e134918a460944d8a9b9de458848f24809f828c03a",
    "cross_cats_sorted": [
      "math.CA",
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-31T10:39:33Z",
    "title_canon_sha256": "6a3a998c29173bf83f6054942c6292bc5d15088c26f19f43c5bcb56ec7dac12d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.29267",
    "kind": "arxiv",
    "version": 1
  }
}