Pith Number

pith:D3VU6N6Q

pith:2007:D3VU6N6QIXZUZP6JGIGOS5FAWO

not attested not anchored not stored refs pending

Birationality of \'etale morphisms via surgery

Frederico Xavier, Laurence R. Taylor, Scott Nollet

arxiv:0705.0524 v2 · 2007-05-03 · math.AG · 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{D3VU6N6QIXZUZP6JGIGOS5FAWO}

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	2026-05-18T03:40:26.442715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1eeb4f37d045f34cbfc9320ce974a0b39451da7a260d3f7d35030bf38bc0a270

Aliases

arxiv: 0705.0524 · arxiv_version: 0705.0524v2 · doi: 10.48550/arxiv.0705.0524 · pith_short_12: D3VU6N6QIXZU · pith_short_16: D3VU6N6QIXZUZP6J · pith_short_8: D3VU6N6Q

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/D3VU6N6QIXZUZP6JGIGOS5FAWO \
  | 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: 1eeb4f37d045f34cbfc9320ce974a0b39451da7a260d3f7d35030bf38bc0a270

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1b5891f18d8d7eec9eb3fdde17eb2ed83e47d348933444bb0d20e62dc617fae",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-05-03T19:49:20Z",
    "title_canon_sha256": "e2c8726227a2a2adcdaf104b1edcc30da239c61cb9c090c3898ce999a9723015"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.0524",
    "kind": "arxiv",
    "version": 2
  }
}