Pith Number

pith:OBI2EP53

pith:2013:OBI2EP536MATJIVX3DDATNNTB3

not attested not anchored not stored refs pending

Mittag-Leffler functions and complete monotonicity

LPTMS), Thomas Simon (LPP

arxiv:1312.4513 v2 · 2013-12-16 · 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{OBI2EP536MATJIVX3DDATNNTB3}

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	2026-05-18T03:04:23.657096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7051a23fbbf30134a2b7d8c609b5b30eca05036e3f69ec1db0a254de437451ab

Aliases

arxiv: 1312.4513 · arxiv_version: 1312.4513v2 · doi: 10.48550/arxiv.1312.4513 · pith_short_12: OBI2EP536MAT · pith_short_16: OBI2EP536MATJIVX · pith_short_8: OBI2EP53

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/OBI2EP536MATJIVX3DDATNNTB3 \
  | 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: 7051a23fbbf30134a2b7d8c609b5b30eca05036e3f69ec1db0a254de437451ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9b1995bc55483a78147133c987609abbbc4a3687a3d498a9452319aaddb1fee",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-12-16T20:41:41Z",
    "title_canon_sha256": "cc563d5af98725c4a7fc4d5e168958033de3ccf6f5dfbba038721fe60100cbca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4513",
    "kind": "arxiv",
    "version": 2
  }
}