Pith Number

pith:ZO7GICWJ

pith:2023:ZO7GICWJNOSDNKV2E4MJLNSZIL

not attested not anchored not stored refs pending

Analytic continuation of better-behaved GKZ systems and Fourier-Mukai transforms

Zengrui Han

arxiv:2305.12241 v4 · 2023-05-20 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZO7GICWJNOSDNKV2E4MJLNSZIL}

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	2026-05-20T14:03:16.577416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbbe640ac96ba436aaba271895b65942ff854fae7364ee58b23f229d3dc4597a

Aliases

arxiv: 2305.12241 · arxiv_version: 2305.12241v4 · doi: 10.48550/arxiv.2305.12241 · pith_short_12: ZO7GICWJNOSD · pith_short_16: ZO7GICWJNOSDNKV2 · pith_short_8: ZO7GICWJ

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/ZO7GICWJNOSDNKV2E4MJLNSZIL \
  | 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: cbbe640ac96ba436aaba271895b65942ff854fae7364ee58b23f229d3dc4597a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ef9ee35df5cf2dbefd0b6f0add914e8d4b724b2101f5d1967b725634567e7e4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-05-20T17:20:46Z",
    "title_canon_sha256": "e9d01a5bcfcd2e5c7eb90a243603e5745f355f911e785987b1a64ef9f8876000"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.12241",
    "kind": "arxiv",
    "version": 4
  }
}