Pith Number

pith:YWSDYN36

pith:2015:YWSDYN36DOF6OADNRWN3EJZYZ3

not attested not anchored not stored refs pending

On Fano threefolds with semi-free ${\mathbb C}^*$-actions, I

Dan Zaffran, Qilin Yang

arxiv:1508.01089 v2 · 2015-08-05 · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YWSDYN36DOF6OADNRWN3EJZYZ3}

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	2026-05-18T01:35:04.456241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5a43c377e1b8be7006d8d9bb22738ced8b4eee738c07f3a0b52e9a62c8af350

Aliases

arxiv: 1508.01089 · arxiv_version: 1508.01089v2 · doi: 10.48550/arxiv.1508.01089 · pith_short_12: YWSDYN36DOF6 · pith_short_16: YWSDYN36DOF6OADN · pith_short_8: YWSDYN36

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/YWSDYN36DOF6OADNRWN3EJZYZ3 \
  | 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: c5a43c377e1b8be7006d8d9bb22738ced8b4eee738c07f3a0b52e9a62c8af350

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c11fa07022d11137877f4511d2d3b14dac25f3ea338ebe420d5494f586a376b",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-05T14:37:29Z",
    "title_canon_sha256": "a6d6d3dc1d2459d8500b74ff8319ff28857f5a8d83eac887350f20217482c73c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01089",
    "kind": "arxiv",
    "version": 2
  }
}