Pith Number

pith:PJPPSC3M

pith:2012:PJPPSC3M2T7G2EKV2K7NTQUKCY

not attested not anchored not stored refs pending

Foliations with vanishing Chern classes

Frederic Touzet, Jorge Vitorio Pereira

arxiv:1210.5916 v1 · 2012-10-22 · math.AG · 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{PJPPSC3M2T7G2EKV2K7NTQUKCY}

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	2026-05-18T03:42:34.708920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a5ef90b6cd4fe6d1155d2bed9c28a162d9840a0e26a62ba6ddeff1c6ca0cf49

Aliases

arxiv: 1210.5916 · arxiv_version: 1210.5916v1 · doi: 10.48550/arxiv.1210.5916 · pith_short_12: PJPPSC3M2T7G · pith_short_16: PJPPSC3M2T7G2EKV · pith_short_8: PJPPSC3M

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/PJPPSC3M2T7G2EKV2K7NTQUKCY \
  | 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: 7a5ef90b6cd4fe6d1155d2bed9c28a162d9840a0e26a62ba6ddeff1c6ca0cf49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73750d145160f506c072f99e167ee70fd13c51d9fb15b96cae1dafc0aef11b73",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-22T14:53:32Z",
    "title_canon_sha256": "943764f8429eb854064f797eb17f07d0c27de4b76a76563c62e45947480f0a43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5916",
    "kind": "arxiv",
    "version": 1
  }
}