Pith Number

pith:OZNXTHFQ

pith:2012:OZNXTHFQ5KLDQKZOVS6GCRJABF

not attested not anchored not stored refs pending

Topological complexity of motion planning in projective product spaces

Enrique Torres-Giese, Jesus Gonzalez, Mark Grant, Miguel Xicotencatl

arxiv:1206.0271 v1 · 2012-06-01 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OZNXTHFQ5KLDQKZOVS6GCRJABF}

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	2026-05-18T02:41:43.107891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

765b799cb0ea96382b2eacbc61452009441c72a4619496da5896054d003dea79

Aliases

arxiv: 1206.0271 · arxiv_version: 1206.0271v1 · doi: 10.48550/arxiv.1206.0271 · pith_short_12: OZNXTHFQ5KLD · pith_short_16: OZNXTHFQ5KLDQKZO · pith_short_8: OZNXTHFQ

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/OZNXTHFQ5KLDQKZOVS6GCRJABF \
  | 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: 765b799cb0ea96382b2eacbc61452009441c72a4619496da5896054d003dea79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffa464d937e94ad3296ef8ba80ead35370842ef16ed30fae398b1be25e6604c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-06-01T18:38:15Z",
    "title_canon_sha256": "32543e1630104ead739b03e5e1fe6d22cc6895a220076822c563959b65d0a268"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0271",
    "kind": "arxiv",
    "version": 1
  }
}