Pith Number

pith:MYEODEU2

pith:2011:MYEODEU264CKEFEKQFULMK4YT6

not attested not anchored not stored refs pending

A new proof to complexity of dual basis of a type I optimal normal basis

Baofeng Wu, Kai Zhou, Zhuojun Liu

arxiv:1112.3153 v3 · 2011-12-14 · cs.DM · 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{MYEODEU264CKEFEKQFULMK4YT6}

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	2026-05-18T03:37:29.052806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6608e1929af704a2148a8168b62b989fa5d2e44675d8f86a5cbdf90bf369ec12

Aliases

arxiv: 1112.3153 · arxiv_version: 1112.3153v3 · doi: 10.48550/arxiv.1112.3153 · pith_short_12: MYEODEU264CK · pith_short_16: MYEODEU264CKEFEK · pith_short_8: MYEODEU2

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/MYEODEU264CKEFEKQFULMK4YT6 \
  | 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: 6608e1929af704a2148a8168b62b989fa5d2e44675d8f86a5cbdf90bf369ec12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61cdf5311e7712f094bd091fbc931f2e3b0d4dc06455d33fbcb85da98fe0d294",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-12-14T10:03:14Z",
    "title_canon_sha256": "8b0498ef533b2ef61bce971cedd1bfd4643ae05d571e4d33cc42be226647ed89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3153",
    "kind": "arxiv",
    "version": 3
  }
}