Pith Number

pith:4Q47YLMJ

pith:2015:4Q47YLMJ2BKJ7FEWIY4NJMSCV4

not attested not anchored not stored refs pending

Local polar invariants for plane singular foliations

Felipe Cano, Nuria Corral, Rog\'erio Mol

arxiv:1508.06882 v1 · 2015-08-27 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4Q47YLMJ2BKJ7FEWIY4NJMSCV4}

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	2026-05-18T01:34:40.651730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e439fc2d89d0549f94964638d4b242af0dcdf5f6e8f945055742c0ffd36c2a6b

Aliases

arxiv: 1508.06882 · arxiv_version: 1508.06882v1 · doi: 10.48550/arxiv.1508.06882 · pith_short_12: 4Q47YLMJ2BKJ · pith_short_16: 4Q47YLMJ2BKJ7FEW · pith_short_8: 4Q47YLMJ

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/4Q47YLMJ2BKJ7FEWIY4NJMSCV4 \
  | 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: e439fc2d89d0549f94964638d4b242af0dcdf5f6e8f945055742c0ffd36c2a6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95db93c07a4cfaaf85f1ae4f824efa65f3154a84c8164b43e6ddc889ca01694c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-08-27T14:44:37Z",
    "title_canon_sha256": "ee52f40f52c5cda5e38f3cab5fb56fe0418b7637d7f57813103131858c723950"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06882",
    "kind": "arxiv",
    "version": 1
  }
}