Pith Number

pith:HWUCHEK4

pith:2008:HWUCHEK46MHVTMHF5RTXB72JOU

not attested not anchored not stored refs pending

Surgery on links with unknotted components and three-manifolds

Li Yu, Yu Guo

arxiv:0801.3309 v1 · 2008-01-22 · 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{HWUCHEK46MHVTMHF5RTXB72JOU}

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	2026-05-18T04:31:12.391074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3da823915cf30f59b0e5ec6770ff4975282b84a14fade69d781e6af45a139dd5

Aliases

arxiv: 0801.3309 · arxiv_version: 0801.3309v1 · doi: 10.48550/arxiv.0801.3309 · pith_short_12: HWUCHEK46MHV · pith_short_16: HWUCHEK46MHVTMHF · pith_short_8: HWUCHEK4

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/HWUCHEK46MHVTMHF5RTXB72JOU \
  | 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: 3da823915cf30f59b0e5ec6770ff4975282b84a14fade69d781e6af45a139dd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d0e624761a8fd003c7074ffaae2400289c2bc586583c0ff7f5764c5684e6efb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2008-01-22T06:00:11Z",
    "title_canon_sha256": "5893373b6783dfdce0354cd8387f559d7a0354bbf2d4f1c911086cf26da434f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.3309",
    "kind": "arxiv",
    "version": 1
  }
}