Pith Number

pith:EMSKIOSZ

pith:2016:EMSKIOSZEAO4DH5U53LX2BMHKX

not attested not anchored not stored refs pending

Limit theorems for Markov walks conditioned to stay positive under a spectral gap assumption

\'Emile Le Page, Ion Grama, Ronan Lauvergnat

arxiv:1607.07757 v2 · 2016-07-26 · 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{EMSKIOSZEAO4DH5U53LX2BMHKX}

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	2026-05-18T01:10:23.061570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2324a43a59201dc19fb4eed77d058755f76797be893f8f0b33613585c04b7ae3

Aliases

arxiv: 1607.07757 · arxiv_version: 1607.07757v2 · doi: 10.48550/arxiv.1607.07757 · pith_short_12: EMSKIOSZEAO4 · pith_short_16: EMSKIOSZEAO4DH5U · pith_short_8: EMSKIOSZ

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/EMSKIOSZEAO4DH5U53LX2BMHKX \
  | 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: 2324a43a59201dc19fb4eed77d058755f76797be893f8f0b33613585c04b7ae3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6170236632f86d15afacbec272ac1cbbc5a08469a3ae6c34b336596d4575495b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-26T15:32:30Z",
    "title_canon_sha256": "26e3c455995eff2a1e9921244c9d1e83ce9bcca567da98fc642fbc38007670d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07757",
    "kind": "arxiv",
    "version": 2
  }
}