Pith Number

pith:6AYPYRH3

pith:2015:6AYPYRH3WJT2XK4WHH6CI73ZIM

not attested not anchored not stored refs pending

Linear rigidity of stationary stochastic processes

Alexander I. Bufetov, Yanqi Qiu, Yoann Dabrowski

arxiv:1507.00670 v2 · 2015-07-02 · 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{6AYPYRH3WJT2XK4WHH6CI73ZIM}

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	2026-05-18T00:56:21.563061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f030fc44fbb267abab9639fc247f794314d019b7c92ac6c2e5b59892f4bade03

Aliases

arxiv: 1507.00670 · arxiv_version: 1507.00670v2 · doi: 10.48550/arxiv.1507.00670 · pith_short_12: 6AYPYRH3WJT2 · pith_short_16: 6AYPYRH3WJT2XK4W · pith_short_8: 6AYPYRH3

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/6AYPYRH3WJT2XK4WHH6CI73ZIM \
  | 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: f030fc44fbb267abab9639fc247f794314d019b7c92ac6c2e5b59892f4bade03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91a2a2552c5a247eccd81a0454c05f78bdf433bac7ae0874d78062df8c29c916",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-02T17:31:52Z",
    "title_canon_sha256": "f823ff2aca4f01fdcd4ce43ab6a9f7dbae7516b2b9137b667c1423030d610814"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00670",
    "kind": "arxiv",
    "version": 2
  }
}