Pith Number

pith:JFROIJJO

pith:2015:JFROIJJO4A72LECC64DPZSZD6B

not attested not anchored not stored refs pending

Random reversible Markov matrices with tunable extremal eigenvalues

Zhiyi Chi

arxiv:1505.02086 v2 · 2015-05-08 · 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{JFROIJJO4A72LECC64DPZSZD6B}

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	2026-05-18T01:33:43.333398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4962e4252ee03fa59042f706fccb23f05fa218bfe6eb159801183c52f5ce9c58

Aliases

arxiv: 1505.02086 · arxiv_version: 1505.02086v2 · doi: 10.48550/arxiv.1505.02086 · pith_short_12: JFROIJJO4A72 · pith_short_16: JFROIJJO4A72LECC · pith_short_8: JFROIJJO

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/JFROIJJO4A72LECC64DPZSZD6B \
  | 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: 4962e4252ee03fa59042f706fccb23f05fa218bfe6eb159801183c52f5ce9c58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bec8731ef2605d1e3660a80fc492850a923b04fb2a6a5c620ea31ba25c761d27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-08T16:14:18Z",
    "title_canon_sha256": "9ab7d9dd638004e9cf3f62971e044874a21abe431fe472c13d4734c3db5ea2b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02086",
    "kind": "arxiv",
    "version": 2
  }
}