Pith Number

pith:AF7OAQXI

pith:2013:AF7OAQXIF77H5APZCSJIWC4OQI

not attested not anchored not stored refs pending

Sequential motion planning of non-colliding particles in Euclidean spaces

Jesus Gonzalez, Mark Grant

arxiv:1309.4346 v2 · 2013-09-17 · 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{AF7OAQXIF77H5APZCSJIWC4OQI}

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	2026-05-18T03:02:46.734842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

017ee042e82ffe7e81f914928b0b8e8218ec338ab20211278fb4daf4772ed7aa

Aliases

arxiv: 1309.4346 · arxiv_version: 1309.4346v2 · doi: 10.48550/arxiv.1309.4346 · pith_short_12: AF7OAQXIF77H · pith_short_16: AF7OAQXIF77H5APZ · pith_short_8: AF7OAQXI

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/AF7OAQXIF77H5APZCSJIWC4OQI \
  | 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: 017ee042e82ffe7e81f914928b0b8e8218ec338ab20211278fb4daf4772ed7aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bd6325403f1d5c667da39c20b54529c237d06758494ab9517efe87e179064bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-09-17T15:17:35Z",
    "title_canon_sha256": "b6ab41bd73010d3dca596ba225dce966c7acb5c1c35da935f9fb015863614c8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4346",
    "kind": "arxiv",
    "version": 2
  }
}