Pith Number

pith:RBV7EYB5

pith:2026:RBV7EYB53L6KY54U5B7RHUD2MX

not attested not anchored not stored refs pending

$0/1$-Polytopes with Exponentially Small Edge Expansion

Xiongxin Yang

arxiv:2608.01870 v1 · 2026-08-03 · 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{RBV7EYB53L6KY54U5B7RHUD2MX}

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	2026-08-04T02:07:30.216301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

886bf2603ddafcac7794e87f13d07a65f0fa7a2ce78cabfa6c2409f0041f8f55

Aliases

arxiv: 2608.01870 · arxiv_version: 2608.01870v1 · doi: 10.48550/arxiv.2608.01870 · pith_short_12: RBV7EYB53L6K · pith_short_16: RBV7EYB53L6KY54U · pith_short_8: RBV7EYB5

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/RBV7EYB53L6KY54U5B7RHUD2MX \
  | 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: 886bf2603ddafcac7794e87f13d07a65f0fa7a2ce78cabfa6c2409f0041f8f55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "001d628070559d83082fbb5d665c446359830d461aa40e40b643a29ec057bff3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-03T08:18:18Z",
    "title_canon_sha256": "17d2d515ba9c8d30e372f8529f061926e575998bf29cad297671d4e9be3ca34d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01870",
    "kind": "arxiv",
    "version": 1
  }
}