Pith Number

pith:3RS24VNJ

pith:2017:3RS24VNJS5F4XMJ3OUVNWJSR23

not attested not anchored not stored refs pending

Smooth contractible threefolds with hyperbolic $\mathbb{G}_{m}$-actions via ps-divisors

Charlie Petitjean

arxiv:1702.03739 v1 · 2017-02-13 · 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{3RS24VNJS5F4XMJ3OUVNWJSR23}

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	2026-05-18T00:50:53.099451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc65ae55a9974bcbb13b752adb2651d6fd6558feba8318c03b6ab7cf519ff5c3

Aliases

arxiv: 1702.03739 · arxiv_version: 1702.03739v1 · doi: 10.48550/arxiv.1702.03739 · pith_short_12: 3RS24VNJS5F4 · pith_short_16: 3RS24VNJS5F4XMJ3 · pith_short_8: 3RS24VNJ

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/3RS24VNJS5F4XMJ3OUVNWJSR23 \
  | 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: dc65ae55a9974bcbb13b752adb2651d6fd6558feba8318c03b6ab7cf519ff5c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c177317ed6f7293560ab8bc23d070d1527f170461b029ffcbd94966111584e72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-02-13T12:33:51Z",
    "title_canon_sha256": "e75651ef91d3efb1d1e3b0564df11c933e0eb8d79a91a7a4c21629b2cc4b74fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03739",
    "kind": "arxiv",
    "version": 1
  }
}