Pith Number

pith:ZQ4FG4TX

pith:1996:ZQ4FG4TXGN3HUXOM6XQHNYCGBH

not attested not anchored not stored refs pending

On the homology cobordism group of homology 3-spheres

Nikolai Saveliev

arxiv:math/9608211 v1 · 1996-08-31 · 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{ZQ4FG4TXGN3HUXOM6XQHNYCGBH}

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	2026-05-18T01:05:47.091671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc3853727733767a5dccf5e076e04609e5a62231415f2d7e3dd6bff3126d2263

Aliases

arxiv: math/9608211 · arxiv_version: math/9608211v1 · doi: 10.48550/arxiv.math/9608211 · pith_short_12: ZQ4FG4TXGN3H · pith_short_16: ZQ4FG4TXGN3HUXOM · pith_short_8: ZQ4FG4TX

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/ZQ4FG4TXGN3HUXOM6XQHNYCGBH \
  | 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: cc3853727733767a5dccf5e076e04609e5a62231415f2d7e3dd6bff3126d2263

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c102e7f66faa8ae2bf942d154a8b59c64cf71c2c7d0a6f6df4b1aa0ef3859f2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1996-08-31T00:00:00Z",
    "title_canon_sha256": "5ccd2f471a3497cbdef82be7d1747aec970fe9de238428504b50f9ed5dd3f2a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9608211",
    "kind": "arxiv",
    "version": 1
  }
}