Pith Number

pith:XQZPRDV4

pith:2017:XQZPRDV42P2AVIQU2NHXDYRGN7

not attested not anchored not stored refs pending

Path Homotopy Invariants and their Application to Optimal Trajectory Planning

Robert Ghrist, Subhrajit Bhattacharya

arxiv:1710.02871 v1 · 2017-10-08 · cs.RO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQZPRDV42P2AVIQU2NHXDYRGN7}

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.

Cited by

1 paper in Pith

Spectral Kernel Dynamics for Planetary Surface Graphs: Distinction Dynamics and Topological Conservation

Receipt and verification

First computed	2026-05-18T00:33:28.616342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc32f88ebcd3f40aa214d34f71e2266fc6d204d8f3a4831fd6e9713abe56dde7

Aliases

arxiv: 1710.02871 · arxiv_version: 1710.02871v1 · doi: 10.48550/arxiv.1710.02871 · pith_short_12: XQZPRDV42P2A · pith_short_16: XQZPRDV42P2AVIQU · pith_short_8: XQZPRDV4

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/XQZPRDV42P2AVIQU2NHXDYRGN7 \
  | 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: bc32f88ebcd3f40aa214d34f71e2266fc6d204d8f3a4831fd6e9713abe56dde7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "559a384ae3826360b8d5ea3474d8c95bf941b67ef34f8f2818ac9123758fb3ce",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.RO",
    "submitted_at": "2017-10-08T19:18:37Z",
    "title_canon_sha256": "378b209cb0d098db16243d453493bbf63f50fda86f2daf53957418239df70784"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02871",
    "kind": "arxiv",
    "version": 1
  }
}