Pith Number

pith:GO7A25JM

pith:2013:GO7A25JM3IEVCM2UM4CFXEAIVL

not attested not anchored not stored refs pending

Bi-Lipschitz Bijection between the Boolean Cube and the Hamming Ball

Gil Cohen, Igor Shinkar, Itai Benjamini

arxiv:1310.2017 v1 · 2013-10-08 · math.CO · cs.CC · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GO7A25JM3IEVCM2UM4CFXEAIVL}

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	2026-05-18T03:10:59.648472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33be0d752cda0951335467045b9008aaec8ce2bd7c0c8494609692c96b340810

Aliases

arxiv: 1310.2017 · arxiv_version: 1310.2017v1 · doi: 10.48550/arxiv.1310.2017 · pith_short_12: GO7A25JM3IEV · pith_short_16: GO7A25JM3IEVCM2U · pith_short_8: GO7A25JM

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/GO7A25JM3IEVCM2UM4CFXEAIVL \
  | 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: 33be0d752cda0951335467045b9008aaec8ce2bd7c0c8494609692c96b340810

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65db4a1f5f498d8de3371bcd277d4a71fdce638911a7a40ae8019dfee0a053f8",
    "cross_cats_sorted": [
      "cs.CC",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-08T06:58:09Z",
    "title_canon_sha256": "23f3c4b2d524eb224e956d3a5b768ce90b82fc7554d6115b941cb9041d567e53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2017",
    "kind": "arxiv",
    "version": 1
  }
}