Pith Number

pith:GWD445J5

pith:2022:GWD445J52RXBAYUUE6OF2AT3ZK

not attested not anchored not stored refs pending

Submodule codes as spherical codes in buildings

Mima Stanojkovski

arxiv:2202.13370 v3 · 2022-02-27 · cs.IT · math.CO · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GWD445J52RXBAYUUE6OF2AT3ZK}

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	2026-07-05T06:53:03.006151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3587ce753dd46e106294279c5d027bca85ca8ad4b1461c7e5f377b949e870c53

Aliases

arxiv: 2202.13370 · arxiv_version: 2202.13370v3 · doi: 10.48550/arxiv.2202.13370 · pith_short_12: GWD445J52RXB · pith_short_16: GWD445J52RXBAYUU · pith_short_8: GWD445J5

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/GWD445J52RXBAYUUE6OF2AT3ZK \
  | 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: 3587ce753dd46e106294279c5d027bca85ca8ad4b1461c7e5f377b949e870c53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd4c6a741bbfa6d448089e20606f725f14c080e3c9effd18e6e916e7e895b0f7",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2022-02-27T14:27:36Z",
    "title_canon_sha256": "80617f749b3e27609845701ef94489f45cb86c7f96ad10d1690943a71918ec3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.13370",
    "kind": "arxiv",
    "version": 3
  }
}