Pith Number

pith:KXEWHMHB

pith:2010:KXEWHMHB6QFCVKG3X2DQ4WS4OA

not attested not anchored not stored refs pending

On the figure-8 surgery of S^2\times S^2

Motoo Tange

arxiv:1001.0721 v2 · 2010-01-05 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KXEWHMHB6QFCVKG3X2DQ4WS4OA}

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	2026-05-18T01:04:59.231175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55c963b0e1f40a2aa8dbbe870e5a5c7011633938bba2a7e34fd8b503f0192af3

Aliases

arxiv: 1001.0721 · arxiv_version: 1001.0721v2 · doi: 10.48550/arxiv.1001.0721 · pith_short_12: KXEWHMHB6QFC · pith_short_16: KXEWHMHB6QFCVKG3 · pith_short_8: KXEWHMHB

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/KXEWHMHB6QFCVKG3X2DQ4WS4OA \
  | 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: 55c963b0e1f40a2aa8dbbe870e5a5c7011633938bba2a7e34fd8b503f0192af3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cf5966449d1b0e73dca3c6ea0d8fe0a5c8e6ccc443b7f4e40cd6f99d23347a6",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-01-05T18:28:38Z",
    "title_canon_sha256": "eea3466c48e92f7cf20b759d9d1a02bf360a10753a5b37ca05718fe74c33d37d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0721",
    "kind": "arxiv",
    "version": 2
  }
}