Pith Number

pith:6J5COUMN

pith:2013:6J5COUMNKZ3AR5Z3Q7XPT3FQNI

not attested not anchored not stored refs pending

Constructions of round fold maps on $C^{\infty}$ bundles

Naoki Kitazawa

arxiv:1305.1708 v1 · 2013-05-08 · math.GN · 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{6J5COUMNKZ3AR5Z3Q7XPT3FQNI}

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	2026-05-18T03:26:11.448950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f27a27518d567608f73b87eef9ecb06a3ab96b9a00a23dfb8bd546401e7edb55

Aliases

arxiv: 1305.1708 · arxiv_version: 1305.1708v1 · doi: 10.48550/arxiv.1305.1708 · pith_short_12: 6J5COUMNKZ3A · pith_short_16: 6J5COUMNKZ3AR5Z3 · pith_short_8: 6J5COUMN

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/6J5COUMNKZ3AR5Z3Q7XPT3FQNI \
  | 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: f27a27518d567608f73b87eef9ecb06a3ab96b9a00a23dfb8bd546401e7edb55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd903db9ddbcd60bf97d9d32f2ddb7d8523154634ca3fce3d1a40da2c1f2260e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2013-05-08T03:41:19Z",
    "title_canon_sha256": "8bd3b2f267a9656c58189e1efe4034d0960ee0f37355ba509f598eba4f8dca3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1708",
    "kind": "arxiv",
    "version": 1
  }
}