Pith Number

pith:FQDAC4SY

pith:2015:FQDAC4SY3CTFPTW3Q33IQJC5SZ

not attested not anchored not stored refs pending

Families of \mathbb{A}^1-contractible affine threefolds

Adrien Dubouloz, Jean Fasel

arxiv:1512.01933 v1 · 2015-12-07 · 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{FQDAC4SY3CTFPTW3Q33IQJC5SZ}

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	2026-05-18T01:25:09.970163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c06017258d8a657cedb86f688245d965f2e579b1bf781fb2ace9adb72d6c063

Aliases

arxiv: 1512.01933 · arxiv_version: 1512.01933v1 · doi: 10.48550/arxiv.1512.01933 · pith_short_12: FQDAC4SY3CTF · pith_short_16: FQDAC4SY3CTFPTW3 · pith_short_8: FQDAC4SY

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/FQDAC4SY3CTFPTW3Q33IQJC5SZ \
  | 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: 2c06017258d8a657cedb86f688245d965f2e579b1bf781fb2ace9adb72d6c063

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ad5311b9b06a36b2da0afed00cc60e9aad6b3d6775230c420a9624ccc9e4b8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-07T07:35:28Z",
    "title_canon_sha256": "da6061037a1d797f024c152ce6d4853cc845d5207f632b80cfc0bf5e8b754165"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01933",
    "kind": "arxiv",
    "version": 1
  }
}