Pith Number

pith:PRQWQNAG

pith:2019:PRQWQNAGWL367UMXRR7ZFC7GPQ

not attested not anchored not stored refs pending

Normal curvature of pseudo-umblical submanifolds in a sphere

Majid Ali Choudhary

arxiv:1907.06523 v1 · 2019-07-09 · 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{PRQWQNAGWL367UMXRR7ZFC7GPQ}

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	2026-05-17T23:40:37.488552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c61683406b2f7efd1978c7f928be67c1f0c6f4b348af327f851e8269d8e29be

Aliases

arxiv: 1907.06523 · arxiv_version: 1907.06523v1 · doi: 10.48550/arxiv.1907.06523 · pith_short_12: PRQWQNAGWL36 · pith_short_16: PRQWQNAGWL367UMX · pith_short_8: PRQWQNAG

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/PRQWQNAGWL367UMXRR7ZFC7GPQ \
  | 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: 7c61683406b2f7efd1978c7f928be67c1f0c6f4b348af327f851e8269d8e29be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eea0caf3ed215f5ae7a606f9adc4f32f4b7f4365701360e2d156eebb915e2e8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-07-09T15:27:41Z",
    "title_canon_sha256": "ffe928ec46a2b7248d2aded9b4ed3e71c14880534c0c5a29dffd8bd1bde57d57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06523",
    "kind": "arxiv",
    "version": 1
  }
}