Pith Number

pith:XPWVQCFJ

pith:2014:XPWVQCFJURFPN4QDWG3ZVLXREX

not attested not anchored not stored refs pending

Closed orbits for the diagonal group and well-rounded lattices

Barak Weiss, Michael Levin, Uri Shapira

arxiv:1405.5682 v1 · 2014-05-22 · 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{XPWVQCFJURFPN4QDWG3ZVLXREX}

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	2026-05-18T02:51:15.869862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbed5808a9a44af6f203b1b79aaef125df47995482d3160061e8ec6dfd63a4cc

Aliases

arxiv: 1405.5682 · arxiv_version: 1405.5682v1 · doi: 10.48550/arxiv.1405.5682 · pith_short_12: XPWVQCFJURFP · pith_short_16: XPWVQCFJURFPN4QD · pith_short_8: XPWVQCFJ

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/XPWVQCFJURFPN4QDWG3ZVLXREX \
  | 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: bbed5808a9a44af6f203b1b79aaef125df47995482d3160061e8ec6dfd63a4cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "097b09078da3a462842161fac9d7658bca80713b596caeb998999bd2e3de402a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-05-22T09:34:53Z",
    "title_canon_sha256": "a2f5c5de5ce65e0cdfd5345da0299c533567f9001f0d140cd958b1bb22714d18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5682",
    "kind": "arxiv",
    "version": 1
  }
}