Pith Number

pith:GJLYCHE7

pith:2022:GJLYCHE7FKTTTVYPTRRGFXORJ2

not attested not anchored not stored refs pending

Randomly twisted hypercubes -- between structure and randomness

Itai Benjamini, Maksim Zhukovskii, Renan Gross, Yotam Dikstein

arxiv:2211.06988 v3 · 2022-11-13 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJLYCHE7FKTTTVYPTRRGFXORJ2}

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	2026-07-05T06:07:21.214974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3257811c9f2aa739d70f9c6262ddd14ebe5b13807b8b48cd9903bf30fdf517f4

Aliases

arxiv: 2211.06988 · arxiv_version: 2211.06988v3 · doi: 10.48550/arxiv.2211.06988 · pith_short_12: GJLYCHE7FKTT · pith_short_16: GJLYCHE7FKTTTVYP · pith_short_8: GJLYCHE7

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/GJLYCHE7FKTTTVYPTRRGFXORJ2 \
  | 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: 3257811c9f2aa739d70f9c6262ddd14ebe5b13807b8b48cd9903bf30fdf517f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70a8c47ef44fce828648939704ec094783cb56bb1b882122b80460275cd5cf9d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-11-13T18:32:38Z",
    "title_canon_sha256": "f8edf3bb1fd39b1af79f34bdc6a1ab1f32c9eff5bb87170d02af84bfe5d1c847"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.06988",
    "kind": "arxiv",
    "version": 3
  }
}