Pith Number

pith:NKMZHE7R

pith:2007:NKMZHE7RWXEI3CE2ME23IOEKZ5

not attested not anchored not stored refs pending

On smoothable surgery for 4-manifolds

Qayum Khan

arxiv:math/0702074 v6 · 2007-02-04 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NKMZHE7RWXEI3CE2ME23IOEKZ5}

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	2026-05-18T02:41:26.586596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a999393f1b5c88d889a6135b4388acf4d3bb40f98d5e6f4110910a807fa2912

Aliases

arxiv: math/0702074 · arxiv_version: math/0702074v6 · doi: 10.48550/arxiv.math/0702074 · pith_short_12: NKMZHE7RWXEI · pith_short_16: NKMZHE7RWXEI3CE2 · pith_short_8: NKMZHE7R

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/NKMZHE7RWXEI3CE2ME23IOEKZ5 \
  | 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: 6a999393f1b5c88d889a6135b4388acf4d3bb40f98d5e6f4110910a807fa2912

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16a5adab13d1c5975a041ed6e48b5b22dcd924ad004308ed69640fb8ea8d7287",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2007-02-04T21:24:42Z",
    "title_canon_sha256": "e384eb1da5fb2956e2f7d088c6b72f042f1e909ffe2b93c85c6c2007cfc07f2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702074",
    "kind": "arxiv",
    "version": 6
  }
}