Pith Number

pith:3SUXUIAG

pith:2009:3SUXUIAGSATPQYGJTGWGZ7AMHH

not attested not anchored not stored refs pending

The cobordism group of homology cylinders

Jae Choon Cha, Stefan Friedl, Taehee Kim

arxiv:0909.5580 v3 · 2009-09-30 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3SUXUIAGSATPQYGJTGWGZ7AMHH}

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	2026-05-18T03:02:44.536607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dca97a20069026f860c999ac6cfc0c39ecbc8197681e846ea9bda2ec24ec599d

Aliases

arxiv: 0909.5580 · arxiv_version: 0909.5580v3 · doi: 10.48550/arxiv.0909.5580 · pith_short_12: 3SUXUIAGSATP · pith_short_16: 3SUXUIAGSATPQYGJ · pith_short_8: 3SUXUIAG

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/3SUXUIAGSATPQYGJTGWGZ7AMHH \
  | 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: dca97a20069026f860c999ac6cfc0c39ecbc8197681e846ea9bda2ec24ec599d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c61dd2a636d08b8647ec3744474b238939cfe8b885a2b80653cd9df6a9d333f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-09-30T11:44:51Z",
    "title_canon_sha256": "c92d864b072428830a0e1c78f6db70a3460b1e0f30aa089bb31926eac913a122"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5580",
    "kind": "arxiv",
    "version": 3
  }
}