Pith Number

pith:2SKRK4AK

pith:2020:2SKRK4AKSL3LWA7C4KJ54QSQ7J

not attested not anchored not stored refs pending

Cells in the box and a hyperplane

Imre Barany, Peter Frankl

arxiv:2004.12306 v2 · 2020-04-26 · 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{2SKRK4AKSL3LWA7C4KJ54QSQ7J}

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	2026-07-05T05:23:55.526178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d49515700a92f6bb03e2e293de4250fa723a49f92507d9117af9b020796d9b83

Aliases

arxiv: 2004.12306 · arxiv_version: 2004.12306v2 · doi: 10.48550/arxiv.2004.12306 · pith_short_12: 2SKRK4AKSL3L · pith_short_16: 2SKRK4AKSL3LWA7C · pith_short_8: 2SKRK4AK

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/2SKRK4AKSL3LWA7C4KJ54QSQ7J \
  | 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: d49515700a92f6bb03e2e293de4250fa723a49f92507d9117af9b020796d9b83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b89511e890407f947633cc54fba3d4b8329892ab01294e1d406e7562ea448022",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2020-04-26T08:19:40Z",
    "title_canon_sha256": "95b1105aa48df2a170b2229fa40d0acd1c071d0e8c7daaaf3a3f8b23ee18f958"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.12306",
    "kind": "arxiv",
    "version": 2
  }
}