Pith Number

pith:5WLU3QPV

pith:2019:5WLU3QPVYIZBB35JPIFMT76ECB

not attested not anchored not stored refs pending

Pairing symmetries for Euclidean and spherical frameworks

Anthony Nixon, Bernd Schulze, Katie Clinch, Walter Whiteley

arxiv:1906.00578 v2 · 2019-06-03 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5WLU3QPVYIZBB35JPIFMT76ECB}

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	2026-05-17T23:44:02.043975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed974dc1f5c23210efa97a0ac9ffc41067a94cf3d2e5a21c89ffee5825e08924

Aliases

arxiv: 1906.00578 · arxiv_version: 1906.00578v2 · doi: 10.48550/arxiv.1906.00578 · pith_short_12: 5WLU3QPVYIZB · pith_short_16: 5WLU3QPVYIZBB35J · pith_short_8: 5WLU3QPV

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/5WLU3QPVYIZBB35JPIFMT76ECB \
  | 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: ed974dc1f5c23210efa97a0ac9ffc41067a94cf3d2e5a21c89ffee5825e08924

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36610b9c86aa76799cdeba25bab55dce3d913fcec9613a2900ab74da60a52852",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-03T05:22:46Z",
    "title_canon_sha256": "e2e91d1965b35dca4b6a5945d350b404ec6ea1edd1d410aaeed812ca8a55aabf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.00578",
    "kind": "arxiv",
    "version": 2
  }
}