Pith Number

pith:YTHSCZQG

pith:2012:YTHSCZQGMILHT7YNQCOSI3MQ6W

not attested not anchored not stored refs pending

Invariants for Homology Classes with Application to Optimal Search and Planning Problem in Robotics

David Lipsky, Robert Ghrist, Subhrajit Bhattacharya, Vijay Kumar

arxiv:1208.0573 v1 · 2012-08-02 · math.AT · cs.RO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YTHSCZQGMILHT7YNQCOSI3MQ6W}

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	2026-05-18T03:49:33.726629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4cf216606621679ff0d809d246d90f5bf6d894610d8f828d3b50d045aa58734

Aliases

arxiv: 1208.0573 · arxiv_version: 1208.0573v1 · doi: 10.48550/arxiv.1208.0573 · pith_short_12: YTHSCZQGMILH · pith_short_16: YTHSCZQGMILHT7YN · pith_short_8: YTHSCZQG

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/YTHSCZQGMILHT7YNQCOSI3MQ6W \
  | 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: c4cf216606621679ff0d809d246d90f5bf6d894610d8f828d3b50d045aa58734

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce04469e45603b5240b986bf861120beb5abd57d1a6875ec57c594047257a0c2",
    "cross_cats_sorted": [
      "cs.RO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-08-02T18:46:26Z",
    "title_canon_sha256": "55409b4ffc43bcf84826b505fb711310161a94852b45307d41858d41fff0d400"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0573",
    "kind": "arxiv",
    "version": 1
  }
}