Pith Number

pith:KHOYCMKB

pith:2012:KHOYCMKBJ5OZICQHJWI4WEX7TF

not attested not anchored not stored refs pending

About the bound of the C* exponential length

Kun Wang, Qingfei Pan

arxiv:1212.6809 v3 · 2012-12-31 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KHOYCMKBJ5OZICQHJWI4WEX7TF}

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	2026-05-18T03:00:01.089229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51dd8131414f5d940a074d91cb12ff9970fdd1527288330a9261c08d58f03e87

Aliases

arxiv: 1212.6809 · arxiv_version: 1212.6809v3 · doi: 10.48550/arxiv.1212.6809 · pith_short_12: KHOYCMKBJ5OZ · pith_short_16: KHOYCMKBJ5OZICQH · pith_short_8: KHOYCMKB

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/KHOYCMKBJ5OZICQHJWI4WEX7TF \
  | 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: 51dd8131414f5d940a074d91cb12ff9970fdd1527288330a9261c08d58f03e87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cd1bcabb2492590ebf0215db394c621e1642d6bcbfdcf58b66366d08409532d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-12-31T02:33:11Z",
    "title_canon_sha256": "ff0d0b9dc306bda0550e8c8a5d5e7d91300e9f1b92e770473fddd456971833bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6809",
    "kind": "arxiv",
    "version": 3
  }
}