Pith Number

pith:WZQ4CDXO

pith:2010:WZQ4CDXOEQXMFEUFTQNU25L4NI

not attested not anchored not stored refs pending

L-space surgeries, genus bounds, and the cabling conjecture

Joshua Evan Greene

arxiv:1009.1130 v2 · 2010-09-06 · 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{WZQ4CDXOEQXMFEUFTQNU25L4NI}

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	2026-05-18T04:05:05.416262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b661c10eee242ec292859c1b4d757c6a3f8ecffe8321275e6e8582963e06d8a4

Aliases

arxiv: 1009.1130 · arxiv_version: 1009.1130v2 · doi: 10.48550/arxiv.1009.1130 · pith_short_12: WZQ4CDXOEQXM · pith_short_16: WZQ4CDXOEQXMFEUF · pith_short_8: WZQ4CDXO

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/WZQ4CDXOEQXMFEUFTQNU25L4NI \
  | 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: b661c10eee242ec292859c1b4d757c6a3f8ecffe8321275e6e8582963e06d8a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0516b83da6552c3f57017f8648c5c0b09e7d404aae9471475283b1a40f8ea41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-09-06T19:20:02Z",
    "title_canon_sha256": "f07f6582da844cab96760b001d7bad5e2483e7c5f574163fbd107b046fe80e07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1130",
    "kind": "arxiv",
    "version": 2
  }
}