Pith Number

pith:5HEBF2G7

pith:2016:5HEBF2G76EW7JF75DVB7LIIQZ5

not attested not anchored not stored refs pending

Multi-point Codes over Kummer Extensions

Chuangqiang Hu, Shudi Yang

arxiv:1607.05462 v1 · 2016-07-19 · cs.IT · 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{5HEBF2G76EW7JF75DVB7LIIQZ5}

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	2026-05-18T00:40:51.647310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9c812e8dff12df497fd1d43f5a110cf68139077da911f385dade942ecda7aee

Aliases

arxiv: 1607.05462 · arxiv_version: 1607.05462v1 · doi: 10.48550/arxiv.1607.05462 · pith_short_12: 5HEBF2G76EW7 · pith_short_16: 5HEBF2G76EW7JF75 · pith_short_8: 5HEBF2G7

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/5HEBF2G76EW7JF75DVB7LIIQZ5 \
  | 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: e9c812e8dff12df497fd1d43f5a110cf68139077da911f385dade942ecda7aee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e2df0d39c555525192c6c04ea5f60ac238d1f85b8ec4759d66219c8feb34429",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-07-19T08:42:33Z",
    "title_canon_sha256": "32fd40d5f04306c5cbfcaa3139ab2bc28436d79d798aa3ce8e9731abf31b0351"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05462",
    "kind": "arxiv",
    "version": 1
  }
}