Pith Number

pith:6FWM2USN

pith:2009:6FWM2USNFBRTNZTQD2MZM2RHWG

not attested not anchored not stored refs pending

Fibrations on four-folds with trivial canonical bundles

Justin Sawon

arxiv:0904.0273 v1 · 2009-04-01 · 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{6FWM2USNFBRTNZTQD2MZM2RHWG}

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	2026-05-18T01:25:48.018869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f16ccd524d286336e6701e99966a27b195e984c36706674475a6afb3251f8f38

Aliases

arxiv: 0904.0273 · arxiv_version: 0904.0273v1 · doi: 10.48550/arxiv.0904.0273 · pith_short_12: 6FWM2USNFBRT · pith_short_16: 6FWM2USNFBRTNZTQ · pith_short_8: 6FWM2USN

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/6FWM2USNFBRTNZTQD2MZM2RHWG \
  | 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: f16ccd524d286336e6701e99966a27b195e984c36706674475a6afb3251f8f38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "097f52fbffea781b90866740f21253b2f4b2f930ad0932f71130c0eae874d67d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-04-01T22:51:16Z",
    "title_canon_sha256": "aa5b80d0eb9bb6ee2b6eff18862e77f252eec02c469f1cf4e83b091b16192929"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0273",
    "kind": "arxiv",
    "version": 1
  }
}