Pith Number

pith:PAKKLGSY

pith:2014:PAKKLGSYKKRHM2FWW6C6EDWVYH

not attested not anchored not stored refs pending

Strong Shift Equivalence and Positive Doubly Stochastic Matrices

Sompong Chuysurichay

arxiv:1407.2485 v1 · 2014-07-09 · 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{PAKKLGSYKKRHM2FWW6C6EDWVYH}

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	2026-05-18T02:32:53.707019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7814a59a5852a27668b6b785e20ed5c1ff21146c44ba0cf0657461bdeedea520

Aliases

arxiv: 1407.2485 · arxiv_version: 1407.2485v1 · doi: 10.48550/arxiv.1407.2485 · pith_short_12: PAKKLGSYKKRH · pith_short_16: PAKKLGSYKKRHM2FW · pith_short_8: PAKKLGSY

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/PAKKLGSYKKRHM2FWW6C6EDWVYH \
  | 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: 7814a59a5852a27668b6b785e20ed5c1ff21146c44ba0cf0657461bdeedea520

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f859e4b25e2c3703a0e4eea25d3f3de5d241e70c18fbd80fb15be475a6ce5ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-07-09T14:04:34Z",
    "title_canon_sha256": "bce021631a8edddc205a10f38006ca47831474d6eb51f98dedd9c408fc82fa96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2485",
    "kind": "arxiv",
    "version": 1
  }
}