Pith Number

pith:JBQ6NB6L

pith:2011:JBQ6NB6LK3QEUNVQFAI7LQRWOZ

not attested not anchored not stored refs pending

Polar foliations and isoparametric maps

Marcos M. Alexandrino

arxiv:1102.1018 v1 · 2011-02-04 · 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{JBQ6NB6LK3QEUNVQFAI7LQRWOZ}

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	2026-05-18T03:59:47.849474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4861e687cb56e04a36b02811f5c236765fc7a6e0043ccede41e3a12023d66998

Aliases

arxiv: 1102.1018 · arxiv_version: 1102.1018v1 · doi: 10.48550/arxiv.1102.1018 · pith_short_12: JBQ6NB6LK3QE · pith_short_16: JBQ6NB6LK3QEUNVQ · pith_short_8: JBQ6NB6L

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/JBQ6NB6LK3QEUNVQFAI7LQRWOZ \
  | 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: 4861e687cb56e04a36b02811f5c236765fc7a6e0043ccede41e3a12023d66998

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bf5f4f8ccc5eb3fd524d8ba9c33e64acece614bc1778ad5be60a96935728b4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-02-04T21:05:31Z",
    "title_canon_sha256": "0713820f9865ae75287918acba399fd27c82d15aa181d61d16f7b25dc2cdca35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1018",
    "kind": "arxiv",
    "version": 1
  }
}