Pith Number

pith:GISY3POR

pith:2004:GISY3PORRSVHKFUDZ527GJRH52

not attested not anchored not stored refs pending

On m-covers and m-systems

Zhi-Wei Sun

arxiv:math/0403271 v2 · 2004-03-16 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GISY3PORRSVHKFUDZ527GJRH52}

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	2026-07-04T14:38:26.221790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32258dbdd18caa751683cf75f32627ee87077605fd2e2b22844dc028df518e79

Aliases

arxiv: math/0403271 · arxiv_version: math/0403271v2 · doi: 10.48550/arxiv.math/0403271 · pith_short_12: GISY3PORRSVH · pith_short_16: GISY3PORRSVHKFUD · pith_short_8: GISY3POR

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/GISY3PORRSVHKFUDZ527GJRH52 \
  | 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: 32258dbdd18caa751683cf75f32627ee87077605fd2e2b22844dc028df518e79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fc45147500cc7d00ec93348d5d47089741e5b3dcf3e737fb46d85579615aace",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2004-03-16T17:04:14Z",
    "title_canon_sha256": "2e3dbf3e4b01ee9e72569332b2fab20d9747e7ecf8bf876d7cfe24b75c2c03b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0403271",
    "kind": "arxiv",
    "version": 2
  }
}