Pith Number

pith:LEI7PZ3B

pith:2017:LEI7PZ3BAMUAVE2E4A4D6GGQJC

not attested not anchored not stored refs pending

Integral representations and asymptotic behaviours of Mittag-Leffler type functions of two variables

Christian Lavault (LIPN)

arxiv:1705.05562 v1 · 2017-05-16 · math.FA · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LEI7PZ3BAMUAVE2E4A4D6GGQJC}

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	2026-05-18T00:44:22.433106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5911f7e76103280a9344e0383f18d048b5eefbfb57f61e028942050e1b7c0dd3

Aliases

arxiv: 1705.05562 · arxiv_version: 1705.05562v1 · doi: 10.48550/arxiv.1705.05562 · pith_short_12: LEI7PZ3BAMUA · pith_short_16: LEI7PZ3BAMUAVE2E · pith_short_8: LEI7PZ3B

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/LEI7PZ3BAMUAVE2E4A4D6GGQJC \
  | 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: 5911f7e76103280a9344e0383f18d048b5eefbfb57f61e028942050e1b7c0dd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1315daa63fd9d9fd1ba89d9aa1a18dbeaf057a9888b060c483498e2c801b913",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-05-16T07:41:21Z",
    "title_canon_sha256": "7f7c15b8860b55fdc9c400346021f361405d8de92de626b71576ecfe9dddbb47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05562",
    "kind": "arxiv",
    "version": 1
  }
}