Pith Number

pith:XSIKXQ42

pith:2013:XSIKXQ42AOL3FWVXXSSLTLMBPZ

not attested not anchored not stored refs pending

On some Fano manifolds admitting a rational fibration

C. Casagrande

arxiv:1307.5418 v2 · 2013-07-20 · 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{XSIKXQ42AOL3FWVXXSSLTLMBPZ}

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	2026-05-18T00:44:29.628711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc90abc39a0397b2dab7bca4b9ad817e77f159d7ba9c1d28c0ef34b01e8235a4

Aliases

arxiv: 1307.5418 · arxiv_version: 1307.5418v2 · doi: 10.48550/arxiv.1307.5418 · pith_short_12: XSIKXQ42AOL3 · pith_short_16: XSIKXQ42AOL3FWVX · pith_short_8: XSIKXQ42

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/XSIKXQ42AOL3FWVXXSSLTLMBPZ \
  | 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: bc90abc39a0397b2dab7bca4b9ad817e77f159d7ba9c1d28c0ef34b01e8235a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d681bc1e9463e4bda8157b56f1c5a34c8900fbaffb7e143be1c067216948d325",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-20T12:33:35Z",
    "title_canon_sha256": "4db517643e80e4b4d30b1b18985b73e1851cd6a0f43fb6cf7dec4f8718162047"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5418",
    "kind": "arxiv",
    "version": 2
  }
}