Pith Number

pith:JXRR2MEN

pith:2013:JXRR2MENJTIUCBXOLXFCJVTJQK

not attested not anchored not stored refs pending

Total positivity of a Cauchy kernel

Thomas Simon (LPP)

arxiv:1305.1173 v1 · 2013-05-06 · math.CA · 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{JXRR2MENJTIUCBXOLXFCJVTJQK}

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	2026-05-18T03:26:23.879271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4de31d308d4cd14106ee5dca24d66982b96f9bf48eada1608b202490ec8a29de

Aliases

arxiv: 1305.1173 · arxiv_version: 1305.1173v1 · doi: 10.48550/arxiv.1305.1173 · pith_short_12: JXRR2MENJTIU · pith_short_16: JXRR2MENJTIUCBXO · pith_short_8: JXRR2MEN

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/JXRR2MENJTIUCBXOLXFCJVTJQK \
  | 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: 4de31d308d4cd14106ee5dca24d66982b96f9bf48eada1608b202490ec8a29de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "153186ce19c163511184ad134c2c4fff61c88bbb05dc40b9b0f7bd35bde64ac9",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-05-06T12:59:32Z",
    "title_canon_sha256": "eb69487cb60e06f27edf11c13f719342b7841ca11ac1a62e676c4d12e0beb99b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1173",
    "kind": "arxiv",
    "version": 1
  }
}