Pith Number

pith:BBYTFSTM

pith:2007:BBYTFSTMXYC3TFNIASW6U6KPIB

not attested not anchored not stored refs pending

Exotic rational elliptic surfaces without 1-handles

Kouichi Yasui

arxiv:0705.1143 v1 · 2007-05-08 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BBYTFSTMXYC3TFNIASW6U6KPIB}

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	2026-05-18T01:22:31.257388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

087132ca6cbe05b995a804adea794f404e04064b616c088749e71461f6a88970

Aliases

arxiv: 0705.1143 · arxiv_version: 0705.1143v1 · doi: 10.48550/arxiv.0705.1143 · pith_short_12: BBYTFSTMXYC3 · pith_short_16: BBYTFSTMXYC3TFNI · pith_short_8: BBYTFSTM

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/BBYTFSTMXYC3TFNIASW6U6KPIB \
  | 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: 087132ca6cbe05b995a804adea794f404e04064b616c088749e71461f6a88970

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f8f0188e1f779801196bc430dff328996176243ceb5da3bf075212e8a66aaa2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2007-05-08T19:00:43Z",
    "title_canon_sha256": "379b7f7ffae0adda323596599c54a89a111467bb7c45cc3b720810770ca20822"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.1143",
    "kind": "arxiv",
    "version": 1
  }
}