Pith Number

pith:LT3V6KR4

pith:2016:LT3V6KR45IRREIYTIQQUKXQJSM

not attested not anchored not stored refs pending

On the one-way specification property and large deviations for non-transitive systems

Kenichiro Yamamoto

arxiv:1611.03978 v2 · 2016-11-12 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LT3V6KR45IRREIYTIQQUKXQJSM}

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	2026-05-18T00:58:50.581610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cf75f2a3cea231223134421455e09932d822a3a3622ccbc97693158680096a1

Aliases

arxiv: 1611.03978 · arxiv_version: 1611.03978v2 · doi: 10.48550/arxiv.1611.03978 · pith_short_12: LT3V6KR45IRR · pith_short_16: LT3V6KR45IRREIYT · pith_short_8: LT3V6KR4

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/LT3V6KR45IRREIYTIQQUKXQJSM \
  | 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: 5cf75f2a3cea231223134421455e09932d822a3a3622ccbc97693158680096a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5f004df911134f43c9c798b2c2ff49b12437bc60a37e1d245f9ae2c5539e041",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-11-12T09:50:30Z",
    "title_canon_sha256": "761354c6d1a6b15bc3fb5dcd2dc08169bf1c11639ae1c393ab2e2c10a08c90e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03978",
    "kind": "arxiv",
    "version": 2
  }
}