Pith Number

pith:R5YVWWBS

pith:2014:R5YVWWBS3N66SDQ6AN5CWL336B

not attested not anchored not stored refs pending

The asymptotic diameter of cyclohedra

Lionel Pournin

arxiv:1410.5259 v1 · 2014-10-20 · 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{R5YVWWBS3N66SDQ6AN5CWL336B}

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	2026-05-18T00:44:42.743823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f715b5832db7de90e1e037a2b2f7bf04fa13686dc40a04f7c2971530a59a9cf

Aliases

arxiv: 1410.5259 · arxiv_version: 1410.5259v1 · doi: 10.48550/arxiv.1410.5259 · pith_short_12: R5YVWWBS3N66 · pith_short_16: R5YVWWBS3N66SDQ6 · pith_short_8: R5YVWWBS

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/R5YVWWBS3N66SDQ6AN5CWL336B \
  | 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: 8f715b5832db7de90e1e037a2b2f7bf04fa13686dc40a04f7c2971530a59a9cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03ba9a53087c24f2ecdc3df80c90606b20d365831e63945eb2b3dee48353839d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-20T13:08:15Z",
    "title_canon_sha256": "0888f699fee014b016023e9235e7b9e6c36c93892dd7510fe92340975530e30d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5259",
    "kind": "arxiv",
    "version": 1
  }
}