Pith Number

pith:BT6TDLIT

pith:2010:BT6TDLITEOCGVBJXHG7PDKZQXR

not attested not anchored not stored refs pending

Optimization over Geodesics for Exact Principal Geodesic Analysis

Fran\c{c}ois Lauze, Mads Nielsen, Stefan Sommer

arxiv:1008.1902 v4 · 2010-08-11 · cs.CG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BT6TDLITEOCGVBJXHG7PDKZQXR}

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	2026-05-18T03:26:41.464287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cfd31ad1323846a853739bef1ab30bc6a01df5e2d8369f1fe2e4f41fbd6a9fe

Aliases

arxiv: 1008.1902 · arxiv_version: 1008.1902v4 · doi: 10.48550/arxiv.1008.1902 · pith_short_12: BT6TDLITEOCG · pith_short_16: BT6TDLITEOCGVBJX · pith_short_8: BT6TDLIT

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/BT6TDLITEOCGVBJXHG7PDKZQXR \
  | 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: 0cfd31ad1323846a853739bef1ab30bc6a01df5e2d8369f1fe2e4f41fbd6a9fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "add769a6324e29abd6262eee4a3c5e85995b151bf9ad0abde200a92077520988",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2010-08-11T12:59:30Z",
    "title_canon_sha256": "92096e98d6ec42abab0c2e71cca4cdf3bb270b1ec78aa362db078d022051362d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1902",
    "kind": "arxiv",
    "version": 4
  }
}