Pith Number

pith:3YH2ULOT

pith:2013:3YH2ULOTO7VHT5KTAV4MCRIEB2

not attested not anchored not stored refs pending

Optimal simplices and codes in projective spaces

Abhinav Kumar, Gregory Minton, Henry Cohn

arxiv:1308.3188 v4 · 2013-08-14 · 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{3YH2ULOTO7VHT5KTAV4MCRIEB2}

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	2026-05-18T01:10:54.842424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de0faa2dd377ea79f5530578c145040e98a1023faafeda041bd0b38ed10d640b

Aliases

arxiv: 1308.3188 · arxiv_version: 1308.3188v4 · doi: 10.48550/arxiv.1308.3188 · pith_short_12: 3YH2ULOTO7VH · pith_short_16: 3YH2ULOTO7VHT5KT · pith_short_8: 3YH2ULOT

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/3YH2ULOTO7VHT5KTAV4MCRIEB2 \
  | 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: de0faa2dd377ea79f5530578c145040e98a1023faafeda041bd0b38ed10d640b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ed59022d08746937ea03e7d0bc613eb18bacc0e9963fcbd344dda331c2970b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-08-14T17:37:41Z",
    "title_canon_sha256": "91694bcfd11a19ae7e35b872bd6eecc70e05d693874d68afe0b3c58da1e1fb7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3188",
    "kind": "arxiv",
    "version": 4
  }
}