Pith Number

pith:4B4ZCV7W

pith:2025:4B4ZCV7WAGRDDGXQZVKYHNLSZ6

not attested not anchored not stored refs pending

Many unit distances requires many directions

Gabriel Currier, J\'ozsef Solymosi

arxiv:2504.04208 v1 · 2025-04-05 · 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{4B4ZCV7WAGRDDGXQZVKYHNLSZ6}

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	2026-07-05T10:44:55.756377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0799157f601a2319af0cd5583b572cfb61c8316766c55c7b1aa2dab9ee34bb5

Aliases

arxiv: 2504.04208 · arxiv_version: 2504.04208v1 · doi: 10.48550/arxiv.2504.04208 · pith_short_12: 4B4ZCV7WAGRD · pith_short_16: 4B4ZCV7WAGRDDGXQ · pith_short_8: 4B4ZCV7W

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/4B4ZCV7WAGRDDGXQZVKYHNLSZ6 \
  | 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: e0799157f601a2319af0cd5583b572cfb61c8316766c55c7b1aa2dab9ee34bb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e15d86a4f294717efcf4584537804ca9a593dc46c45057ae528802295ba5310",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-04-05T15:37:27Z",
    "title_canon_sha256": "22124f7536d928213d300ae8f709a5e3f47206d22cc704253a2aad0d00435937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.04208",
    "kind": "arxiv",
    "version": 1
  }
}