Pith Number

pith:PA3O72LT

pith:2013:PA3O72LTRFCD4QOFQZ53C5QHAY

not attested not anchored not stored refs pending

On SNS-Riemannian connections in sub-Riemannian manifolds

Peibiao Zhao, Yanling Han

arxiv:1306.4443 v2 · 2013-06-19 · 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{PA3O72LTRFCD4QOFQZ53C5QHAY}

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	2026-05-18T01:22:10.700540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7836efe97389443e41c5867bb1760706048f6bdf649df5dadf31b4eb58f7c8ab

Aliases

arxiv: 1306.4443 · arxiv_version: 1306.4443v2 · doi: 10.48550/arxiv.1306.4443 · pith_short_12: PA3O72LTRFCD · pith_short_16: PA3O72LTRFCD4QOF · pith_short_8: PA3O72LT

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/PA3O72LTRFCD4QOFQZ53C5QHAY \
  | 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: 7836efe97389443e41c5867bb1760706048f6bdf649df5dadf31b4eb58f7c8ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31e3f90c500d6d6d43ab4bd7e3efb6f2aab57e18464ca6f5cbb39ddedf413723",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-06-19T07:30:32Z",
    "title_canon_sha256": "3ba58877bb687143220deb8f6fff237d94c75fb22df535b3f60d9d3a0eeac1e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4443",
    "kind": "arxiv",
    "version": 2
  }
}