Pith Number

pith:IWC5YH2K

pith:2005:IWC5YH2KPOIY6YH7I6UYFKRS7X

not attested not anchored not stored refs pending

Canonical Cartan connection and holomorphic invariants on Engel CR manifolds

Gerd Schmalz, Valerii Beloshapka, Vladimir Ezhov

arxiv:math/0508084 v1 · 2005-08-04 · 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{IWC5YH2KPOIY6YH7I6UYFKRS7X}

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	2026-05-18T02:27:08.735241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4585dc1f4a7b918f60ff47a982aa32fdc998e9a20faafa4bf253778c01d4f70d

Aliases

arxiv: math/0508084 · arxiv_version: math/0508084v1 · doi: 10.48550/arxiv.math/0508084 · pith_short_12: IWC5YH2KPOIY · pith_short_16: IWC5YH2KPOIY6YH7 · pith_short_8: IWC5YH2K

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/IWC5YH2KPOIY6YH7I6UYFKRS7X \
  | 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: 4585dc1f4a7b918f60ff47a982aa32fdc998e9a20faafa4bf253778c01d4f70d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b559bd71e9ea21722bed5130c845a0f82d9706456b8662f21e1e7e09a0979f9f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2005-08-04T04:26:26Z",
    "title_canon_sha256": "68d38e8e8f30c9ab3d11a412330b02bbcb1c1f9f695d3834d789421bb2da6860"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508084",
    "kind": "arxiv",
    "version": 1
  }
}