Pith Number

pith:KA6AIX3I

pith:2018:KA6AIX3I7UNJP472URJ7OBKZO6

not attested not anchored not stored refs pending

Explicit formulae for all higher order exponential lacunary generating functions of Hermite polynomials

G\'erard H. E. Duchamp, Karol A. Penson, Nicolas Behr

arxiv:1806.08417 v1 · 2018-06-21 · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KA6AIX3I7UNJP472URJ7OBKZO6}

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	2026-05-18T00:12:37.437428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

503c045f68fd1a97f3faa453f70559778b1f3e80d9a6fc71b2a91a0694a1e0ce

Aliases

arxiv: 1806.08417 · arxiv_version: 1806.08417v1 · doi: 10.48550/arxiv.1806.08417 · pith_short_12: KA6AIX3I7UNJ · pith_short_16: KA6AIX3I7UNJP472 · pith_short_8: KA6AIX3I

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/KA6AIX3I7UNJP472URJ7OBKZO6 \
  | 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: 503c045f68fd1a97f3faa453f70559778b1f3e80d9a6fc71b2a91a0694a1e0ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edc3d3c1b8baf55da654252d27ebff6bac7ef86080af575be23178cc9c671894",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-06-21T20:22:20Z",
    "title_canon_sha256": "bb1dfe337527afc8d040e59a3d88adf017ca9ae61be8b4ddfe4e3ddf7f7b51e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08417",
    "kind": "arxiv",
    "version": 1
  }
}