Pith Number

pith:FRMSHHW3

pith:2011:FRMSHHW3M4IR4P6MF77JVW4OGY

not attested not anchored not stored refs pending

On projective space bundle with nef normalized tautological divisor

Kazunori Yasutake

arxiv:1104.5084 v2 · 2011-04-27 · 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{FRMSHHW3M4IR4P6MF77JVW4OGY}

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	2026-05-18T04:11:31.649423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c59239edb67111e3fcc2ffe9adb8e361ac5d25ad58a031464daf52469c5f1e3

Aliases

arxiv: 1104.5084 · arxiv_version: 1104.5084v2 · doi: 10.48550/arxiv.1104.5084 · pith_short_12: FRMSHHW3M4IR · pith_short_16: FRMSHHW3M4IR4P6M · pith_short_8: FRMSHHW3

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/FRMSHHW3M4IR4P6MF77JVW4OGY \
  | 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: 2c59239edb67111e3fcc2ffe9adb8e361ac5d25ad58a031464daf52469c5f1e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c3667e3f0e9c8700bfc21d47557727cb1f1156c0b2186d3bf43fc632fa7f7d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-27T08:13:36Z",
    "title_canon_sha256": "5a0fa9653013adb28bce9f69ae0e29c75e37ebfbad0d297e0e6282c75c526652"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5084",
    "kind": "arxiv",
    "version": 2
  }
}