Pith Number

pith:D4Z5SOPN

pith:2014:D4Z5SOPN7FB4EEKCN7QGZO3W4L

not attested not anchored not stored refs pending

(Locally) shortest arcs of special sub-Riemannian metric on the Lie group SO(3)

Irina Zubareva, Valera Berestovskii

arxiv:1410.1251 v3 · 2014-10-06 · 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{D4Z5SOPN7FB4EEKCN7QGZO3W4L}

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	2026-05-18T02:39:17.201152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f33d939edf943c211426fe06cbb76e2e0d26f064072c3d53569796b1cb82cdc

Aliases

arxiv: 1410.1251 · arxiv_version: 1410.1251v3 · doi: 10.48550/arxiv.1410.1251 · pith_short_12: D4Z5SOPN7FB4 · pith_short_16: D4Z5SOPN7FB4EEKC · pith_short_8: D4Z5SOPN

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/D4Z5SOPN7FB4EEKCN7QGZO3W4L \
  | 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: 1f33d939edf943c211426fe06cbb76e2e0d26f064072c3d53569796b1cb82cdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83bad47a7185048076a933e122f9e3ad77479f9cd94aeee69173a7c2b19a479d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-10-06T04:15:25Z",
    "title_canon_sha256": "6669ccabf9ff96a78df6c14d101f0ae97ec25b443bb603cad6dc82655bc4144b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1251",
    "kind": "arxiv",
    "version": 3
  }
}