Pith Number

pith:2ELPUFD2

pith:2025:2ELPUFD2THXTFKDEQ4RPQLSXPP

not attested not anchored not stored refs pending

On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$

Xintong Jiang

arxiv:2501.12041 v3 · 2025-01-21 · 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{2ELPUFD2THXTFKDEQ4RPQLSXPP}

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	2026-07-05T10:26:12.608523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d116fa147a99ef32a8648722f82e577bffa8cdbab193cd005ef46d9c855bc677

Aliases

arxiv: 2501.12041 · arxiv_version: 2501.12041v3 · doi: 10.48550/arxiv.2501.12041 · pith_short_12: 2ELPUFD2THXT · pith_short_16: 2ELPUFD2THXTFKDE · pith_short_8: 2ELPUFD2

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/2ELPUFD2THXTFKDEQ4RPQLSXPP \
  | 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: d116fa147a99ef32a8648722f82e577bffa8cdbab193cd005ef46d9c855bc677

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8c4d16f56aa9e11c80cf30b74ade80284dc50faf837d3342e2ee1d1f1171fe6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-01-21T11:02:36Z",
    "title_canon_sha256": "29fa258c85f0ec51439c65c39d4b5c73b9539a6acedee780f485065f5289f06b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.12041",
    "kind": "arxiv",
    "version": 3
  }
}