Pith Number

pith:XEG26RPO

pith:2010:XEG26RPOOKQ4AZSJXIUUXAVXYO

not attested not anchored not stored refs pending

A Relation between the Protocol Partition Number and the Quasi-Additive Bound

Naoyuki Kamiyama

arxiv:1012.5130 v1 · 2010-12-23 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XEG26RPOOKQ4AZSJXIUUXAVXYO}

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	2026-05-18T04:32:35.750496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b90daf45ee72a1c06649ba294b82b7c3884afcc54d9377e3c589885d4aaf67f9

Aliases

arxiv: 1012.5130 · arxiv_version: 1012.5130v1 · doi: 10.48550/arxiv.1012.5130 · pith_short_12: XEG26RPOOKQ4 · pith_short_16: XEG26RPOOKQ4AZSJ · pith_short_8: XEG26RPO

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/XEG26RPOOKQ4AZSJXIUUXAVXYO \
  | 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: b90daf45ee72a1c06649ba294b82b7c3884afcc54d9377e3c589885d4aaf67f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ec0fbeb301bc908573cd0522499b85d9fc19810c3b83ff9b3d82ff73e9ed1b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2010-12-23T01:57:18Z",
    "title_canon_sha256": "b76494f6f5812648c594b23cc9bec9a05fdf50ba48546889241f0ab194e682dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5130",
    "kind": "arxiv",
    "version": 1
  }
}