Pith Number

pith:V7T7KUKE

pith:2025:V7T7KUKECEEMGXBKQCICLBYHLQ

not attested not anchored not stored refs pending

Minimal model program for normal pairs along log canonical locus in complex analytic setting

Kenta Hashizume

arxiv:2501.04057 v2 · 2025-01-07 · 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{V7T7KUKECEEMGXBKQCICLBYHLQ}

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	2026-07-05T11:55:16.081135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afe7f551441108c35c2a80902587075c174d7d02f7936d0648ea4641923fa9e3

Aliases

arxiv: 2501.04057 · arxiv_version: 2501.04057v2 · doi: 10.48550/arxiv.2501.04057 · pith_short_12: V7T7KUKECEEM · pith_short_16: V7T7KUKECEEMGXBK · pith_short_8: V7T7KUKE

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/V7T7KUKECEEMGXBKQCICLBYHLQ \
  | 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: afe7f551441108c35c2a80902587075c174d7d02f7936d0648ea4641923fa9e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "880bebd7e3108d5f5453a12cc094bfc981c54e0bda7d57a3f6e20d30249478ca",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-01-07T04:56:13Z",
    "title_canon_sha256": "2fbc81834f7e86a6c731aebe232a8660d1eeada8ca9591026835658c099ba82d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.04057",
    "kind": "arxiv",
    "version": 2
  }
}