Pith Number

pith:HMXPUBP7

pith:2014:HMXPUBP73VDNCGDQKBGUZIO6EV

not attested not anchored not stored refs pending

Q and Q-prime curvature in CR geometry

Kengo Hirachi

arxiv:1405.2164 v1 · 2014-05-09 · 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{HMXPUBP73VDNCGDQKBGUZIO6EV}

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	2026-05-18T00:59:42.469099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b2efa05ffdd46d11870504d4ca1de25705c1f6012b6243125b7829418d21a73

Aliases

arxiv: 1405.2164 · arxiv_version: 1405.2164v1 · doi: 10.48550/arxiv.1405.2164 · pith_short_12: HMXPUBP73VDN · pith_short_16: HMXPUBP73VDNCGDQ · pith_short_8: HMXPUBP7

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/HMXPUBP73VDNCGDQKBGUZIO6EV \
  | 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: 3b2efa05ffdd46d11870504d4ca1de25705c1f6012b6243125b7829418d21a73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c0fb10b2fe855936fd2117271f4792fa0a9dc10581fc649516794452ae0a10a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-05-09T07:49:28Z",
    "title_canon_sha256": "e7b0435c65b2ba04bf31111147ab82abc9521879d9b76fc0bf76339ba17f7093"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2164",
    "kind": "arxiv",
    "version": 1
  }
}