Pith Number

pith:XREZN34L

pith:2009:XREZN34LFR2KH6REIM4LRUB2II

not attested not anchored not stored refs pending

Cosmetic Surgery in Integral Homology $L$-Spaces

Zhongtao Wu

arxiv:0911.5333 v1 · 2009-11-27 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XREZN34LFR2KH6REIM4LRUB2II}

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	2026-05-18T02:38:18.731021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc4996ef8b2c74a3fa244338b8d03a4203e4c49443675f3c2274b736c1943024

Aliases

arxiv: 0911.5333 · arxiv_version: 0911.5333v1 · doi: 10.48550/arxiv.0911.5333 · pith_short_12: XREZN34LFR2K · pith_short_16: XREZN34LFR2KH6RE · pith_short_8: XREZN34L

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/XREZN34LFR2KH6REIM4LRUB2II \
  | 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: bc4996ef8b2c74a3fa244338b8d03a4203e4c49443675f3c2274b736c1943024

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd3120e7990e072f8ed28df83dba71822d605bf78b6cf1a0882a0cd41705d3e0",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-11-27T20:50:51Z",
    "title_canon_sha256": "e78b5fc7967c214f0a09b4107fe09aa51fdf8d85ed5903aa3ee775a3c16a4287"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.5333",
    "kind": "arxiv",
    "version": 1
  }
}