pith. sign in
Pith Number

pith:44FI7RVY

pith:2019:44FI7RVYWA2VFN4WIG3AZSS7HY
not attested not anchored not stored refs pending

Exploding Markov operators

Bartosz Frej

arxiv:1901.01329 v1 · 2019-01-04 · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{44FI7RVYWA2VFN4WIG3AZSS7HY}

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 2026-05-17T23:56:52.239684Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e70a8fc6b8b03552b79641b60cca5f3e312215490d1f7612cec2f115d17343b0

Aliases

arxiv: 1901.01329 · arxiv_version: 1901.01329v1 · doi: 10.48550/arxiv.1901.01329 · pith_short_12: 44FI7RVYWA2V · pith_short_16: 44FI7RVYWA2VFN4W · pith_short_8: 44FI7RVY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/44FI7RVYWA2VFN4WIG3AZSS7HY \
  | 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: e70a8fc6b8b03552b79641b60cca5f3e312215490d1f7612cec2f115d17343b0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0394a7df490a8fb5e60b38dc9b7870c8b6850c5e5d84e694e64b2e900fa29093",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-01-04T22:18:16Z",
    "title_canon_sha256": "57714fff049c67b4c498b72258d032dfc1d442f8a6b3caf7e6aa962ae401ff08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01329",
    "kind": "arxiv",
    "version": 1
  }
}