Pith Number

pith:UGLB347U

pith:2015:UGLB347UXMNVF7BNZVVZAWWW5S

not attested not anchored not stored refs pending

Permutations of $\mathbb{Z}^d$ with restricted movement

Gabriel Strasser, Klaus Schmidt

arxiv:1510.01068 v4 · 2015-10-05 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UGLB347UXMNVF7BNZVVZAWWW5S}

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	2026-05-18T00:41:51.558797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1961df3f4bb1b52fc2dcd6b905ad6ecb2a9ed652ed9b88c0af97bd6e1668d4c

Aliases

arxiv: 1510.01068 · arxiv_version: 1510.01068v4 · doi: 10.48550/arxiv.1510.01068 · pith_short_12: UGLB347UXMNV · pith_short_16: UGLB347UXMNVF7BN · pith_short_8: UGLB347U

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/UGLB347UXMNVF7BNZVVZAWWW5S \
  | 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: a1961df3f4bb1b52fc2dcd6b905ad6ecb2a9ed652ed9b88c0af97bd6e1668d4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4988ab33e32e1f4903fce76e91d7eb3b17b87807052cdae4a9eba2e8a8875271",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-05T09:01:44Z",
    "title_canon_sha256": "62f1873d6fdec9a91901b78f712291051687112ec2f2892ff3c7b0e56afcc7f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01068",
    "kind": "arxiv",
    "version": 4
  }
}