Pith Number

pith:LDOCMK44

pith:2010:LDOCMK44V76NIJNQSUCMCPTIS5

not attested not anchored not stored refs pending

A CR twistor space of a G2-manifold

Misha Verbitsky

arxiv:1003.3170 v2 · 2010-03-16 · math.DG · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LDOCMK44V76NIJNQSUCMCPTIS5}

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	2026-05-18T04:27:02.675082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58dc262b9caffcd425b09504c13e689765cf3fa98b254017916afd8927189852

Aliases

arxiv: 1003.3170 · arxiv_version: 1003.3170v2 · doi: 10.48550/arxiv.1003.3170 · pith_short_12: LDOCMK44V76N · pith_short_16: LDOCMK44V76NIJNQ · pith_short_8: LDOCMK44

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/LDOCMK44V76NIJNQSUCMCPTIS5 \
  | 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: 58dc262b9caffcd425b09504c13e689765cf3fa98b254017916afd8927189852

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45f88853baed68e8b54ebab3a120a4fa7ef008a90ebee19f532c0a81c759c732",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-03-16T15:56:43Z",
    "title_canon_sha256": "c262158daa88497f9b666861d1e4df8396c7b1feb0c045c60d05cc9d8047bc81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3170",
    "kind": "arxiv",
    "version": 2
  }
}