Pith Number

pith:PI4EGLNQ

pith:2013:PI4EGLNQ3SU7SYIMXXLTEREEMF

not attested not anchored not stored refs pending

Trajectory composition of Poisson time changes and Markov counting systems

Carles Bret\'o

arxiv:1312.5901 v1 · 2013-12-20 · math.PR · stat.OT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PI4EGLNQ3SU7SYIMXXLTEREEMF}

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	2026-05-18T02:55:49.618290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a38432db0dca9f9610cbdd7324484615eef4599d91ac5a9d08e399d3a2feb22

Aliases

arxiv: 1312.5901 · arxiv_version: 1312.5901v1 · doi: 10.48550/arxiv.1312.5901 · pith_short_12: PI4EGLNQ3SU7 · pith_short_16: PI4EGLNQ3SU7SYIM · pith_short_8: PI4EGLNQ

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/PI4EGLNQ3SU7SYIMXXLTEREEMF \
  | 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: 7a38432db0dca9f9610cbdd7324484615eef4599d91ac5a9d08e399d3a2feb22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db73a5c03091640d0f3bc0544c08edc7cf4c2bad42155eef1e7ba35ea9f50589",
    "cross_cats_sorted": [
      "stat.OT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-20T11:45:31Z",
    "title_canon_sha256": "44267878847792588f51b7a9373ea6e4cc6ffe3ea374b26f65262e4d08b9dc22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5901",
    "kind": "arxiv",
    "version": 1
  }
}