Pith Number

pith:CEKBCBD5

pith:2011:CEKBCBD5I7CNKUEPRN4WUNUN6O

not attested not anchored not stored refs pending

Correspondence between diffeomorphism groups and singular foliations

Tomasz Rybicki

arxiv:1103.3623 v1 · 2011-03-18 · 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{CEKBCBD5I7CNKUEPRN4WUNUN6O}

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	2026-05-18T04:26:32.265358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

111411047d47c4d5508f8b796a368df390fd5ed781b2b29bf4cf9a29667ba249

Aliases

arxiv: 1103.3623 · arxiv_version: 1103.3623v1 · doi: 10.48550/arxiv.1103.3623 · pith_short_12: CEKBCBD5I7CN · pith_short_16: CEKBCBD5I7CNKUEP · pith_short_8: CEKBCBD5

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/CEKBCBD5I7CNKUEPRN4WUNUN6O \
  | 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: 111411047d47c4d5508f8b796a368df390fd5ed781b2b29bf4cf9a29667ba249

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7187663f60825cf92301b0973278844f73d2b1fe1da0955426a896ad04aa4e86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-18T13:36:28Z",
    "title_canon_sha256": "26afce3ddc4c03f7b293c0a529c4f882d135f273db7173ab8a1ccbe13a9c38f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3623",
    "kind": "arxiv",
    "version": 1
  }
}