Pith Number

pith:4HAW7XLX

pith:2012:4HAW7XLXSBQMP3SHDFRIXU4PTI

not attested not anchored not stored refs pending

The unconditional case of the complex S-inequality

Piotr Nayar, Tomasz Tkocz

arxiv:1202.2142 v1 · 2012-02-09 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HAW7XLXSBQMP3SHDFRIXU4PTI}

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	2026-05-18T03:12:58.057181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1c16fdd779060c7ee4719628bd38f9a2dc76513f856234348e1e992159bf58c

Aliases

arxiv: 1202.2142 · arxiv_version: 1202.2142v1 · doi: 10.48550/arxiv.1202.2142 · pith_short_12: 4HAW7XLXSBQM · pith_short_16: 4HAW7XLXSBQMP3SH · pith_short_8: 4HAW7XLX

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/4HAW7XLXSBQMP3SHDFRIXU4PTI \
  | 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: e1c16fdd779060c7ee4719628bd38f9a2dc76513f856234348e1e992159bf58c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6cb0f6378686e2e56babbaa3610709b59f6bdeb37470076514a3dab93e32075",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-09T22:05:22Z",
    "title_canon_sha256": "331ee5b2b6448a77d4185c781c45aad2db99f5aaa4d551281900a113e6a3f625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2142",
    "kind": "arxiv",
    "version": 1
  }
}