Pith Number

pith:PBTC63UD

pith:2013:PBTC63UDA4O3CGEVJLZW3PLTIL

not attested not anchored not stored refs pending

Agmon-type estimates for a class of jump processes

Christian Leonard, Elke Rosenberger, Markus Klein

arxiv:1309.3918 v1 · 2013-09-16 · math.PR · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBTC63UDA4O3CGEVJLZW3PLTIL}

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	2026-05-18T03:13:11.840953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78662f6e83071db118954af36dbd7342d6c4aa2045eab60999f3993be4b2a786

Aliases

arxiv: 1309.3918 · arxiv_version: 1309.3918v1 · doi: 10.48550/arxiv.1309.3918 · pith_short_12: PBTC63UDA4O3 · pith_short_16: PBTC63UDA4O3CGEV · pith_short_8: PBTC63UD

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/PBTC63UDA4O3CGEVJLZW3PLTIL \
  | 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: 78662f6e83071db118954af36dbd7342d6c4aa2045eab60999f3993be4b2a786

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73a668d188f043960cccfe01268ad793e4e8d1fc887d043baa5d475fae17ad0f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-16T11:52:08Z",
    "title_canon_sha256": "5f7ecf6adaa1c9605a592bc7b57f1887d0c7aff42cbf80aba9e257ff7a08ba7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3918",
    "kind": "arxiv",
    "version": 1
  }
}