Pith Number

pith:UJXJ7FAH

pith:2019:UJXJ7FAHOLX3DPXVT52D5MEOXD

not attested not anchored not stored refs pending

Classification of flat pencils of foliations on compact complex surfaces

Liliana Puchuri

arxiv:1908.08197 v2 · 2019-08-22 · math.CV · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJXJ7FAHOLX3DPXVT52D5MEOXD}

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	2026-07-05T00:35:19.513085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a26e9f940772efb1bef59f743eb08eb8c319acbf9771efd49ffa174ac406bfe3

Aliases

arxiv: 1908.08197 · arxiv_version: 1908.08197v2 · doi: 10.48550/arxiv.1908.08197 · pith_short_12: UJXJ7FAHOLX3 · pith_short_16: UJXJ7FAHOLX3DPXV · pith_short_8: UJXJ7FAH

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/UJXJ7FAHOLX3DPXVT52D5MEOXD \
  | 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: a26e9f940772efb1bef59f743eb08eb8c319acbf9771efd49ffa174ac406bfe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fec03e3113db55017e990d3d5ba587761f160479f7b0f3eaf9194172e101a278",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-08-22T04:24:00Z",
    "title_canon_sha256": "90a8767857313c0069806b8e3a7d0ac9f4361fba4cdb1d9676d9783cd783145c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08197",
    "kind": "arxiv",
    "version": 2
  }
}