Pith Number

pith:QRMNO5KZ

pith:2013:QRMNO5KZI72K3VLRRAU3IAWYOH

not attested not anchored not stored refs pending

Round fold maps and the topologies and the differentiable structures of manifolds admitting explicit ones

Naoki Kitazawa

arxiv:1304.0618 v5 · 2013-04-02 · 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{QRMNO5KZI72K3VLRRAU3IAWYOH}

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	2026-05-17T23:46:31.466713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8458d7755947f4add5718829b402d871c81527518698f1ba8d4e1b7e7c3e8976

Aliases

arxiv: 1304.0618 · arxiv_version: 1304.0618v5 · doi: 10.48550/arxiv.1304.0618 · pith_short_12: QRMNO5KZI72K · pith_short_16: QRMNO5KZI72K3VLR · pith_short_8: QRMNO5KZ

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/QRMNO5KZI72K3VLRRAU3IAWYOH \
  | 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: 8458d7755947f4add5718829b402d871c81527518698f1ba8d4e1b7e7c3e8976

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80f4faef6604d9276a87c1f30d9394a4ed21d29a38f5337896a0c31fdf67b948",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-04-02T12:42:47Z",
    "title_canon_sha256": "fa51995c6fa90d5525870a3f09ed3efee81e40d6dc5a96fc9ce63f4e89d9a287"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0618",
    "kind": "arxiv",
    "version": 5
  }
}