Pith Number

pith:6R3GUMVD

pith:2025:6R3GUMVDF6XUS6J4ZXY7R6M3O7

not attested not anchored not stored refs pending

A simple layered-wheel-like construction

Bartosz Walczak, David Fischer, Maria Chudnovsky, Sepehr Hajebi, Sophie Spirkl

arxiv:2507.06169 v2 · 2025-07-08 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6R3GUMVDF6XUS6J4ZXY7R6M3O7}

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	2026-07-05T11:45:15.423859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4766a32a32faf49793ccdf1f8f99b77da2b09ee63839caa2f9c94017e458b0d

Aliases

arxiv: 2507.06169 · arxiv_version: 2507.06169v2 · doi: 10.48550/arxiv.2507.06169 · pith_short_12: 6R3GUMVDF6XU · pith_short_16: 6R3GUMVDF6XUS6J4 · pith_short_8: 6R3GUMVD

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/6R3GUMVDF6XUS6J4ZXY7R6M3O7 \
  | 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: f4766a32a32faf49793ccdf1f8f99b77da2b09ee63839caa2f9c94017e458b0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "024efdb223e05e934000834fb722b405f4985e92136455cf84a3cfa66b6eeca5",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-08T16:50:13Z",
    "title_canon_sha256": "6b4b312f3fd15573fbb5eb7be3f9f89559d85f82094b3d9467dd2cfa61195c95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.06169",
    "kind": "arxiv",
    "version": 2
  }
}