Pith Number

pith:ZOSR2K42

pith:2008:ZOSR2K42DP3TFIFC2KBTHYOPC5

not attested not anchored not stored refs pending

Surgery in codimension 3 and the Browder--Livesay invariants

Du\v{s}an Repov\v{s}, Friedrich Hegenbarth, Yurij V. Muranov

arxiv:0809.3572 v1 · 2008-09-21 · 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{ZOSR2K42DP3TFIFC2KBTHYOPC5}

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	2026-05-18T03:05:19.270556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cba51d2b9a1bf732a0a2d28333e1cf1752b94a2f04cf03a228d61e02a313a67c

Aliases

arxiv: 0809.3572 · arxiv_version: 0809.3572v1 · doi: 10.48550/arxiv.0809.3572 · pith_short_12: ZOSR2K42DP3T · pith_short_16: ZOSR2K42DP3TFIFC · pith_short_8: ZOSR2K42

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/ZOSR2K42DP3TFIFC2KBTHYOPC5 \
  | 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: cba51d2b9a1bf732a0a2d28333e1cf1752b94a2f04cf03a228d61e02a313a67c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "684a43efc4d97effa12cb2562045ef52cffdf39e755bd40b107c2d5c22278c3f",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-09-21T11:07:52Z",
    "title_canon_sha256": "cbc5b8a425d848f881b777854f7a487d6a4f45b2a10350d6399ed18306ea8f40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.3572",
    "kind": "arxiv",
    "version": 1
  }
}