Pith Number

pith:CQTRMKVC

pith:2012:CQTRMKVCIKG4H7VXH5YCZH5IZL

not attested not anchored not stored refs pending

Deforming submanifolds of arbitrary codimension in a sphere

Entao Zhao, Hongwei Xu, Kefeng Liu

arxiv:1204.0106 v1 · 2012-03-31 · 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{CQTRMKVCIKG4H7VXH5YCZH5IZL}

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	2026-05-18T03:58:50.372913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1427162aa2428dc3feb73f702c9fa8caec7633c87670e2bdaaadd5450b6aa347

Aliases

arxiv: 1204.0106 · arxiv_version: 1204.0106v1 · doi: 10.48550/arxiv.1204.0106 · pith_short_12: CQTRMKVCIKG4 · pith_short_16: CQTRMKVCIKG4H7VX · pith_short_8: CQTRMKVC

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/CQTRMKVCIKG4H7VXH5YCZH5IZL \
  | 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: 1427162aa2428dc3feb73f702c9fa8caec7633c87670e2bdaaadd5450b6aa347

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fc8c16030852a2d0ffdcae736fb2a4f5b8c509fa76a4b6ecdff8b92e361f54d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-03-31T15:28:59Z",
    "title_canon_sha256": "4537687748a8b40f3cd536350ed50123f0c3dcaa27a3239684e4ec81e3b90938"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0106",
    "kind": "arxiv",
    "version": 1
  }
}