Pith Number

pith:BVSCA74P

pith:2009:BVSCA74P2NHT5AP6DPFTB2KNA6

not attested not anchored not stored refs pending

Torus fibrations and localization of index II

Hajime Fujita, Mikio Furuta, Takahiko Yoshida

arxiv:0910.0358 v4 · 2009-10-02 · math.DG · 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{BVSCA74P2NHT5AP6DPFTB2KNA6}

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	2026-05-18T02:24:46.983877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d64207f8fd34f3e81fe1bcb30e94d079a351dd3676e6ad90c03cf3de1711169

Aliases

arxiv: 0910.0358 · arxiv_version: 0910.0358v4 · doi: 10.48550/arxiv.0910.0358 · pith_short_12: BVSCA74P2NHT · pith_short_16: BVSCA74P2NHT5AP6 · pith_short_8: BVSCA74P

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/BVSCA74P2NHT5AP6DPFTB2KNA6 \
  | 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: 0d64207f8fd34f3e81fe1bcb30e94d079a351dd3676e6ad90c03cf3de1711169

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b02ab0988c3f75fba65f8f57c00924137e737d355dc3367d795597bae2a29c1c",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-10-02T09:36:19Z",
    "title_canon_sha256": "50f9f0bd44ad1794d7ac81c56d87fa348f535c5db8acc970295ffab91156d55c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0358",
    "kind": "arxiv",
    "version": 4
  }
}