Pith Number

pith:CCAOAFCN

pith:2012:CCAOAFCNZLIXODCOOV236C24V5

not attested not anchored not stored refs pending

An Obata-type theorem on a three-dimensional CR manifold

Dimiter Vassilev, Stefan Ivanov

arxiv:1208.1040 v3 · 2012-08-05 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCAOAFCNZLIXODCOOV236C24V5}

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	2026-05-18T03:46:46.951233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1080e0144dcad1770c4e7575bf0b5caf4023060e7b5de695de5f236a443b80af

Aliases

arxiv: 1208.1040 · arxiv_version: 1208.1040v3 · doi: 10.48550/arxiv.1208.1040 · pith_short_12: CCAOAFCNZLIX · pith_short_16: CCAOAFCNZLIXODCO · pith_short_8: CCAOAFCN

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/CCAOAFCNZLIXODCOOV236C24V5 \
  | 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: 1080e0144dcad1770c4e7575bf0b5caf4023060e7b5de695de5f236a443b80af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a7df70f6597c8cb07bbd4005ca6d87ab0dff9cd6fdf1ed224c867bb832ba0f2",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-08-05T18:54:36Z",
    "title_canon_sha256": "ab3e7b3c7f3aa8f388db265a0e137859c85eb5fbc0daf23a55463508f678317b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1040",
    "kind": "arxiv",
    "version": 3
  }
}