Pith Number

pith:GIZEQI2G

pith:2018:GIZEQI2GOGD3PUCLG2Z6C5A2HM

not attested not anchored not stored refs pending

On the maximal perimeter of sections of the cube

Alexander Koldobsky, Hermann Koenig

arxiv:1806.08659 v1 · 2018-06-22 · 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{GIZEQI2GOGD3PUCLG2Z6C5A2HM}

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	2026-05-18T00:12:36.536638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32324823467187b7d04b36b3e1741a3b004f0e914cd72904e714f6251881c651

Aliases

arxiv: 1806.08659 · arxiv_version: 1806.08659v1 · doi: 10.48550/arxiv.1806.08659 · pith_short_12: GIZEQI2GOGD3 · pith_short_16: GIZEQI2GOGD3PUCL · pith_short_8: GIZEQI2G

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/GIZEQI2GOGD3PUCLG2Z6C5A2HM \
  | 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: 32324823467187b7d04b36b3e1741a3b004f0e914cd72904e714f6251881c651

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aaf02c84820eb0a2ac5198c27a50c4c1564bb2602fac208773eb82591bda4bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-06-22T13:40:05Z",
    "title_canon_sha256": "8eb41693632f3141092306338a85b352cdbc2a8f2464659d8718eb979186e1b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08659",
    "kind": "arxiv",
    "version": 1
  }
}