Pith Number

pith:PNUV6GSU

pith:2010:PNUV6GSUSTYFRXJ2QA4M3TRMLW

not attested not anchored not stored refs pending

A h-principle for symplectic foliations

Pedro Frejlich, Rui Loja Fernandes

arxiv:1010.3447 v2 · 2010-10-17 · math.SG · 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{PNUV6GSUSTYFRXJ2QA4M3TRMLW}

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	2026-05-18T04:25:02.982278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b695f1a5494f058dd3a8038cdce2c5d8042973ebdfb9ca9b64d780284251c1e

Aliases

arxiv: 1010.3447 · arxiv_version: 1010.3447v2 · doi: 10.48550/arxiv.1010.3447 · pith_short_12: PNUV6GSUSTYF · pith_short_16: PNUV6GSUSTYFRXJ2 · pith_short_8: PNUV6GSU

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/PNUV6GSUSTYFRXJ2QA4M3TRMLW \
  | 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: 7b695f1a5494f058dd3a8038cdce2c5d8042973ebdfb9ca9b64d780284251c1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db9bbd763d3d96818b03f1ebf16561174528d59a943371b7e043c73ecad875d9",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-10-17T20:45:01Z",
    "title_canon_sha256": "030f072018e7c7d5ec862333ae4285d947e932215e6ad1ba0d9febb6ab3b16bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3447",
    "kind": "arxiv",
    "version": 2
  }
}