Pith Number

pith:4O4ZXRFU

pith:2013:4O4ZXRFU2J2CBNHZXZGF4BP4UD

not attested not anchored not stored refs pending

Triviality of fibered Calabi-Yau manifolds without singular fibers

Valentino Tosatti, Yuguang Zhang

arxiv:1309.3773 v3 · 2013-09-15 · math.AG · math.CV · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4O4ZXRFU2J2CBNHZXZGF4BP4UD}

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	2026-05-18T02:38:29.835225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3b99bc4b4d27420b4f9be4c5e05fca0f612a8bddbbe189c645d1c617ecafc02

Aliases

arxiv: 1309.3773 · arxiv_version: 1309.3773v3 · doi: 10.48550/arxiv.1309.3773 · pith_short_12: 4O4ZXRFU2J2C · pith_short_16: 4O4ZXRFU2J2CBNHZ · pith_short_8: 4O4ZXRFU

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/4O4ZXRFU2J2CBNHZXZGF4BP4UD \
  | 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: e3b99bc4b4d27420b4f9be4c5e05fca0f612a8bddbbe189c645d1c617ecafc02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f7e5a5dbac106b6071789a4902a8091bc760a4fbebed7daa8c28a38e4fce341",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-15T16:10:45Z",
    "title_canon_sha256": "d6891bcb4b88a0e263667bfa83a3cab5ed45970dc11e0693501a0b981c15ef5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3773",
    "kind": "arxiv",
    "version": 3
  }
}