Pith Number

pith:UPXRDHKB

pith:2013:UPXRDHKBA7MV2XV7DG3WNJZMBW

not attested not anchored not stored refs pending

Q-prime curvature on CR manifolds

Kengo Hirachi

arxiv:1302.0489 v2 · 2013-02-03 · 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{UPXRDHKBA7MV2XV7DG3WNJZMBW}

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	2026-05-18T03:00:26.512775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3ef119d4107d95d5ebf19b766a72c0da6e65478b9c1df37c50815aa1c4e62e5

Aliases

arxiv: 1302.0489 · arxiv_version: 1302.0489v2 · doi: 10.48550/arxiv.1302.0489 · pith_short_12: UPXRDHKBA7MV · pith_short_16: UPXRDHKBA7MV2XV7 · pith_short_8: UPXRDHKB

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/UPXRDHKBA7MV2XV7DG3WNJZMBW \
  | 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: a3ef119d4107d95d5ebf19b766a72c0da6e65478b9c1df37c50815aa1c4e62e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "495b4fc6776ae0605227f38cfa4aa122d5593f59353f22835b28259570ff5e0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-02-03T13:40:06Z",
    "title_canon_sha256": "e5329bad3336aac2f69331d951037607451087ef6ab57a995f97c9585f0b5657"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0489",
    "kind": "arxiv",
    "version": 2
  }
}