Pith Number

pith:YLREQNEQ

pith:2001:YLREQNEQYOZBD7LFKYZMVXZUYL

not attested not anchored not stored refs pending

The equivalence and the embedding problems for CR-structures of any codimension

Dmitri Zaitsev, Sung-Yeon Kim

arxiv:math/0108093 v1 · 2001-08-13 · math.CV · 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{YLREQNEQYOZBD7LFKYZMVXZUYL}

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	2026-05-18T02:27:06.425153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2e2483490c3b211fd655632cadf34c2dabb3e7941ae62e330dd21c1d8ab2f23

Aliases

arxiv: math/0108093 · arxiv_version: math/0108093v1 · doi: 10.48550/arxiv.math/0108093 · pith_short_12: YLREQNEQYOZB · pith_short_16: YLREQNEQYOZBD7LF · pith_short_8: YLREQNEQ

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/YLREQNEQYOZBD7LFKYZMVXZUYL \
  | 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: c2e2483490c3b211fd655632cadf34c2dabb3e7941ae62e330dd21c1d8ab2f23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90f1630d87f799eeeb40b72d2361b37a259dffa66095dc4cc22bbe5780cf06f3",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2001-08-13T16:34:33Z",
    "title_canon_sha256": "bbad2acedd54b3ed54b064bf4fa59c17cb9fc82b56a6ee8b1ea64966965a6a15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0108093",
    "kind": "arxiv",
    "version": 1
  }
}