Pith Number

pith:AJJPPO4V

pith:2001:AJJPPO4VOZCBAAROVB6QZO25JV

not attested not anchored not stored refs pending

On Algebraic Hyperbolicity of Log Surfaces

Xi Chen

arxiv:math/0103084 v2 · 2001-03-14 · 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{AJJPPO4VOZCBAAROVB6QZO25JV}

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.

Cited by

1 paper in Pith

Pseudo-hyperbolicity of Horikawa surfaces

Receipt and verification

First computed	2026-07-04T14:35:07.024746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0252f7bb95764410022ea87d0cbb5d4d41e5f5bdd9eff04962ebb9977d2bc1c8

Aliases

arxiv: math/0103084 · arxiv_version: math/0103084v2 · doi: 10.48550/arxiv.math/0103084 · pith_short_12: AJJPPO4VOZCB · pith_short_16: AJJPPO4VOZCBAARO · pith_short_8: AJJPPO4V

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/AJJPPO4VOZCBAAROVB6QZO25JV \
  | 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: 0252f7bb95764410022ea87d0cbb5d4d41e5f5bdd9eff04962ebb9977d2bc1c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "325584996906aacd7ef986670ffd44d89d253eae288fa55edcc9ce781b4993e7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-03-14T15:28:02Z",
    "title_canon_sha256": "6f25274af99f773c2fb66b510ede4275b815b8b41f7e64d22953dce1662e538f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0103084",
    "kind": "arxiv",
    "version": 2
  }
}