Pith Number

pith:CK5SN7HY

pith:2012:CK5SN7HYBSRWOW34DW2KRS4T7F

not attested not anchored not stored refs pending

Extremal cross-polytopes and Gaussian vectors

Gergely Ambrus

arxiv:1208.5923 v2 · 2012-08-29 · math.MG · 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{CK5SN7HYBSRWOW34DW2KRS4T7F}

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	2026-05-18T03:20:32.686631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12bb26fcf80ca3675b7c1db4a8cb93f96b7ee919293617a407dc3be3d5dc38ab

Aliases

arxiv: 1208.5923 · arxiv_version: 1208.5923v2 · doi: 10.48550/arxiv.1208.5923 · pith_short_12: CK5SN7HYBSRW · pith_short_16: CK5SN7HYBSRWOW34 · pith_short_8: CK5SN7HY

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/CK5SN7HYBSRWOW34DW2KRS4T7F \
  | 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: 12bb26fcf80ca3675b7c1db4a8cb93f96b7ee919293617a407dc3be3d5dc38ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f871e5236fece373c6ef166b650619d9abcbd4041ed683ad9308be869dc1ed0",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-08-29T14:22:11Z",
    "title_canon_sha256": "395f89aaed878acc7aada63c71d05f3b61f679efe32a3a6a28867e3ad0713cfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5923",
    "kind": "arxiv",
    "version": 2
  }
}