Pith Number

pith:O4V5Z5AY

pith:2017:O4V5Z5AYHOB2DRCZFNAAUVHUKF

not attested not anchored not stored refs pending

$\mathbb{A}^2$ -Fibrations between affine spaces are trivial $\mathbb{A}^2$-bundles

Adrien Dubouloz (IMB)

arxiv:1704.04440 v1 · 2017-04-14 · 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{O4V5Z5AYHOB2DRCZFNAAUVHUKF}

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	2026-05-18T00:46:21.685367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

772bdcf4183b83a1c4592b400a54f45146db78ea1eeff739a9e87eaabaa78d71

Aliases

arxiv: 1704.04440 · arxiv_version: 1704.04440v1 · doi: 10.48550/arxiv.1704.04440 · pith_short_12: O4V5Z5AYHOB2 · pith_short_16: O4V5Z5AYHOB2DRCZ · pith_short_8: O4V5Z5AY

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/O4V5Z5AYHOB2DRCZFNAAUVHUKF \
  | 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: 772bdcf4183b83a1c4592b400a54f45146db78ea1eeff739a9e87eaabaa78d71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78ed9f09e196a1cde08d63eb239f1b9aedd9b829e68ba0f66155ec9559b2d1c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-04-14T14:42:50Z",
    "title_canon_sha256": "5807b3451e47aa6b57a30001d7c64ed434c57c8368510c1ca05eb928e512527a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04440",
    "kind": "arxiv",
    "version": 1
  }
}