Pith Number

pith:KJ3ZGJCF

pith:2018:KJ3ZGJCFYG27LSFZC5KLQQMMT6

not attested not anchored not stored refs pending

Asymptotic expansions for the incomplete gamma function in the transition regions

Adri B. Olde Daalhuis, Gerg\H{o} Nemes

arxiv:1803.07841 v2 · 2018-03-21 · 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{KJ3ZGJCFYG27LSFZC5KLQQMMT6}

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	2026-05-17T23:50:38.705225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5277932445c1b5f5c8b91754b8418c9f8a17745a7cc63d021ea3c1fdf1221ad2

Aliases

arxiv: 1803.07841 · arxiv_version: 1803.07841v2 · doi: 10.48550/arxiv.1803.07841 · pith_short_12: KJ3ZGJCFYG27 · pith_short_16: KJ3ZGJCFYG27LSFZ · pith_short_8: KJ3ZGJCF

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/KJ3ZGJCFYG27LSFZC5KLQQMMT6 \
  | 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: 5277932445c1b5f5c8b91754b8418c9f8a17745a7cc63d021ea3c1fdf1221ad2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f0bf3320843958dfd1c2eb46707005bf02aba4608faaeda3c836ef14b77a9f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-03-21T10:39:39Z",
    "title_canon_sha256": "7ac573aa33e5f3ffb9505d66b58f4d1c459a7fd70e267d7dc4e8a6bc11c703d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07841",
    "kind": "arxiv",
    "version": 2
  }
}