Pith Number

pith:JDUANJJ4

pith:2026:JDUANJJ4OJABSBRMJKSHY5PWZH

not attested not anchored not stored refs pending

Appell Polynomials in Shifted Asymptotic Expansions: the Mills ratio, Hermite polynomials, and Stieltjes bounds

Lenka Mihokovi\'c, Neven Elezovi\'c, Tomislav Buri\'c

arxiv:2607.26636 v1 · 2026-07-29 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JDUANJJ4OJABSBRMJKSHY5PWZH}

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	2026-07-30T01:21:38.724973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

48e806a53c724019062c4aa47c75f6c9e378135ce8d6fedce1c0da07647ed0e1

Aliases

arxiv: 2607.26636 · arxiv_version: 2607.26636v1 · doi: 10.48550/arxiv.2607.26636 · pith_short_12: JDUANJJ4OJAB · pith_short_16: JDUANJJ4OJABSBRM · pith_short_8: JDUANJJ4

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/JDUANJJ4OJABSBRMJKSHY5PWZH \
  | 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: 48e806a53c724019062c4aa47c75f6c9e378135ce8d6fedce1c0da07647ed0e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a0590ce1245483d70401d0ed508559a630ac9e4216edd3359d866e49fdfb388",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-29T08:58:27Z",
    "title_canon_sha256": "0b258ff775564017072c1fddf2c69e2b3b65c7d871d9ffe32361af3836fef6f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26636",
    "kind": "arxiv",
    "version": 1
  }
}