Pith Number

pith:HTDCI24T

pith:2011:HTDCI24TPN6EJUR2KYDTPW6ZYT

not attested not anchored not stored refs pending

Singular foliations with trivial canonical class

Frank Loray, Frederic Touzet, Jorge Vitorio Pereira

arxiv:1107.1538 v6 · 2011-07-07 · math.AG · math.CV · 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{HTDCI24TPN6EJUR2KYDTPW6ZYT}

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	2026-05-18T00:27:10.378770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cc6246b937b7c44d23a560737dbd9c4f9f95c8f533ff5fb49d37838d5c2d883

Aliases

arxiv: 1107.1538 · arxiv_version: 1107.1538v6 · doi: 10.48550/arxiv.1107.1538 · pith_short_12: HTDCI24TPN6E · pith_short_16: HTDCI24TPN6EJUR2 · pith_short_8: HTDCI24T

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/HTDCI24TPN6EJUR2KYDTPW6ZYT \
  | 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: 3cc6246b937b7c44d23a560737dbd9c4f9f95c8f533ff5fb49d37838d5c2d883

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa7e139bbe388491cca53ed5cd0873059d9be2be3f4f2eca0db1687ef1b6d6c2",
    "cross_cats_sorted": [
      "math.CV",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-07T23:55:55Z",
    "title_canon_sha256": "0c38f1fa8df55b40a87c8681eb6dae919cbc9a2c9a5eb263d141e8b674374bcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1538",
    "kind": "arxiv",
    "version": 6
  }
}