Pith Number

pith:YBKTDAUU

pith:2025:YBKTDAUUANJYRPLQNITVBWCHDH

not attested not anchored not stored refs pending

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces

Wei Chen

arxiv:2507.13280 v2 · 2025-07-17 · 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{YBKTDAUUANJYRPLQNITVBWCHDH}

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	2026-06-09T02:07:05.661284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c055318294035388bd706a2750d84719c25334ff7b2eb5767c125ac4bc14556c

Aliases

arxiv: 2507.13280 · arxiv_version: 2507.13280v2 · doi: 10.48550/arxiv.2507.13280 · pith_short_12: YBKTDAUUANJY · pith_short_16: YBKTDAUUANJYRPLQ · pith_short_8: YBKTDAUU

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/YBKTDAUUANJYRPLQNITVBWCHDH \
  | 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: c055318294035388bd706a2750d84719c25334ff7b2eb5767c125ac4bc14556c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b64e42c06508a44683136228bd314b383d73c7f92b05e97df6ec9ca74f4f6fef",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-17T16:45:22Z",
    "title_canon_sha256": "5c3dc6e2557ac701f0610ad6a2b0c311fab3f84af820257ef52150c7ed45fc69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13280",
    "kind": "arxiv",
    "version": 2
  }
}