Pith Number

pith:37KL7OU4

pith:2025:37KL7OU4OZH6PI7QKDP6F2GK6E

not attested not anchored not stored refs pending

On the existence and non-existence of spherical $m$-stiff configurations

Eiichi Bannai, Hiroshi Nozaki, Hirotake Kurihara

arxiv:2504.17184 v2 · 2025-04-24 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{37KL7OU4OZH6PI7QKDP6F2GK6E}

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	2026-07-05T11:45:14.795139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfd4bfba9c764fe7a3f050dfe2e8caf13ec63d395f8f167a37ad732bba3e2460

Aliases

arxiv: 2504.17184 · arxiv_version: 2504.17184v2 · doi: 10.48550/arxiv.2504.17184 · pith_short_12: 37KL7OU4OZH6 · pith_short_16: 37KL7OU4OZH6PI7Q · pith_short_8: 37KL7OU4

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/37KL7OU4OZH6PI7QKDP6F2GK6E \
  | 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: dfd4bfba9c764fe7a3f050dfe2e8caf13ec63d395f8f167a37ad732bba3e2460

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20634d3d9228f96df3464951a0bb1de08d703fce67cb0bf6940d192ac2f2873c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-04-24T01:39:24Z",
    "title_canon_sha256": "24bb56060ab21c6b09195822876df0b65acd94a03edb7ebf532d4e7bfaaebff7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.17184",
    "kind": "arxiv",
    "version": 2
  }
}