Pith Number

pith:EBCZLU5Q

pith:2015:EBCZLU5QJGOILCSHQKIUOYIO66

not attested not anchored not stored refs pending

Constructing fold maps by surgery operations and their Reeb spaces

Naoki Kitazawa

arxiv:1508.05630 v14 · 2015-08-23 · math.KT · 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{EBCZLU5QJGOILCSHQKIUOYIO66}

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	2026-05-17T23:56:56.311137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

204595d3b0499c858a47829147610ef7aae4560deba4e396fd0b3ba9fdeb7140

Aliases

arxiv: 1508.05630 · arxiv_version: 1508.05630v14 · doi: 10.48550/arxiv.1508.05630 · pith_short_12: EBCZLU5QJGOI · pith_short_16: EBCZLU5QJGOILCSH · pith_short_8: EBCZLU5Q

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/EBCZLU5QJGOILCSHQKIUOYIO66 \
  | 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: 204595d3b0499c858a47829147610ef7aae4560deba4e396fd0b3ba9fdeb7140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b89c3c417dc1e02994684332c04c100ca1f4b54b8ccfc98c98f698dc9f95c0be",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-08-23T17:14:00Z",
    "title_canon_sha256": "929af8c39eedeaf5bea04889f63f41b3a78b6f4156839673ef9b054ea05362e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05630",
    "kind": "arxiv",
    "version": 14
  }
}