Pith Number

pith:4L7QOYIB

pith:2020:4L7QOYIBALM4KI2O77RVKIDN7J

not attested not anchored not stored refs pending

Cutoff Phenomenon for Cyclic Dynamics on Hypercube

Keunwoo Lim

arxiv:2010.01756 v2 · 2020-10-05 · 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{4L7QOYIBALM4KI2O77RVKIDN7J}

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	2026-07-05T08:33:16.581020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2ff07610102d9c5234effe355206dfa732443b86b270ff0cb4cc41c2797cbf8

Aliases

arxiv: 2010.01756 · arxiv_version: 2010.01756v2 · doi: 10.48550/arxiv.2010.01756 · pith_short_12: 4L7QOYIBALM4 · pith_short_16: 4L7QOYIBALM4KI2O · pith_short_8: 4L7QOYIB

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/4L7QOYIBALM4KI2O77RVKIDN7J \
  | 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: e2ff07610102d9c5234effe355206dfa732443b86b270ff0cb4cc41c2797cbf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebb5f605d54d8fa45b890f22871501d12a7a33d586ebf6ead62c012cf8b21ab4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-10-05T03:20:09Z",
    "title_canon_sha256": "becef28ce80cddfa7e1388d31a12f63c0bdf96e63d02b5784837bd326f1def54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.01756",
    "kind": "arxiv",
    "version": 2
  }
}