Pith Number

pith:IYXH6OX6

pith:2026:IYXH6OX63KMM7OGVMD3JRGOFF4

not attested not anchored not stored refs pending

Koszul Duality for Coherent Sheaves

A. M. Bouhada

arxiv:2607.14299 v1 · 2026-07-15 · math.AG · math.CT · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IYXH6OX63KMM7OGVMD3JRGOFF4}

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	2026-07-17T00:21:04.048883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

462e7f3afeda98cfb8d560f69899c52f158d20e534f6d89e0cb82d511cd41a7b

Aliases

arxiv: 2607.14299 · arxiv_version: 2607.14299v1 · doi: 10.48550/arxiv.2607.14299 · pith_short_12: IYXH6OX63KMM · pith_short_16: IYXH6OX63KMM7OGV · pith_short_8: IYXH6OX6

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/IYXH6OX63KMM7OGVMD3JRGOFF4 \
  | 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: 462e7f3afeda98cfb8d560f69899c52f158d20e534f6d89e0cb82d511cd41a7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12123a59eec9503eb28916ea12d75f730f30d9381a9be2ca4f5ca0040de708db",
    "cross_cats_sorted": [
      "math.CT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-15T19:02:05Z",
    "title_canon_sha256": "92ff3575b49f9d29a57f116d152f0127fd58257cf297839eb8c0a016f4da56cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14299",
    "kind": "arxiv",
    "version": 1
  }
}