Pith Number

pith:Y5AS72JO

pith:2008:Y5AS72JO7KFHAXUWYKOVSRJZW4

not attested not anchored not stored refs pending

Homology cylinders and sutured manifolds for homologically fibered knots

Hiroshi Goda, Takuya Sakasai

arxiv:0807.4034 v5 · 2008-07-25 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5AS72JO7KFHAXUWYKOVSRJZW4}

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	2026-05-18T03:17:44.997830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7412fe92efa8a705e96c29d594539b734b134488020b7bed8f2cde0bf1edc46

Aliases

arxiv: 0807.4034 · arxiv_version: 0807.4034v5 · doi: 10.48550/arxiv.0807.4034 · pith_short_12: Y5AS72JO7KFH · pith_short_16: Y5AS72JO7KFHAXUW · pith_short_8: Y5AS72JO

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/Y5AS72JO7KFHAXUWYKOVSRJZW4 \
  | 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: c7412fe92efa8a705e96c29d594539b734b134488020b7bed8f2cde0bf1edc46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9471bf478e4623cb45bef53d2e44025b964256f552295f1785f20d4c3162a16",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-07-25T09:07:52Z",
    "title_canon_sha256": "7e533409f51621cc574381a104ef18085237ee9cb16f852bd7332f97941811c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.4034",
    "kind": "arxiv",
    "version": 5
  }
}