Pith Number

pith:B733HOI6

pith:2008:B733HOI6TNSV4YHQFDMLSMUZCO

not attested not anchored not stored refs pending

Torus fibrations and localization of index I

Hajime Fujita, Mikio Furuta, Takahiko Yoshida

arxiv:0804.3258 v7 · 2008-04-21 · math.SG · 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{B733HOI6TNSV4YHQFDMLSMUZCO}

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	2026-05-18T04:41:35.169863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ff7b3b91e9b655e60f028d8b932991393af18ed99ff887572df340ad263f362

Aliases

arxiv: 0804.3258 · arxiv_version: 0804.3258v7 · doi: 10.48550/arxiv.0804.3258 · pith_short_12: B733HOI6TNSV · pith_short_16: B733HOI6TNSV4YHQ · pith_short_8: B733HOI6

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/B733HOI6TNSV4YHQFDMLSMUZCO \
  | 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: 0ff7b3b91e9b655e60f028d8b932991393af18ed99ff887572df340ad263f362

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24fa20116822a98acde88aa39e43ce70810997aebe1865229835360844ff54b4",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2008-04-21T09:52:39Z",
    "title_canon_sha256": "5c922b849cc722f4b604612a605af053c586f4d5f72a84f0b58849e9caa14f68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.3258",
    "kind": "arxiv",
    "version": 7
  }
}