Pith Number

pith:7UYFRMIF

pith:2012:7UYFRMIFHPTW6PG4V4GYWCJHYY

not attested not anchored not stored refs pending

Vector fields, separatrices and Kato surfaces

Adolfo Guillot

arxiv:1204.2532 v2 · 2012-04-11 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7UYFRMIFHPTW6PG4V4GYWCJHYY}

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	2026-05-18T01:19:31.144700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd3058b1053be76f3cdcaf0d8b0927c60ed9bfc3b3878582e8ca93e119a540f6

Aliases

arxiv: 1204.2532 · arxiv_version: 1204.2532v2 · doi: 10.48550/arxiv.1204.2532 · pith_short_12: 7UYFRMIFHPTW · pith_short_16: 7UYFRMIFHPTW6PG4 · pith_short_8: 7UYFRMIF

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/7UYFRMIFHPTW6PG4V4GYWCJHYY \
  | 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: fd3058b1053be76f3cdcaf0d8b0927c60ed9bfc3b3878582e8ca93e119a540f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e210de64a5cd9c568e70bec680f4dc8a4d92f14bd97a4293c3bb2e688440ff09",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-04-11T19:35:22Z",
    "title_canon_sha256": "c4eb09ff7146351e69554a36ac1b748dbc63c07406991f06a5884ab4e0782b86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2532",
    "kind": "arxiv",
    "version": 2
  }
}