Pith Number

pith:DJCJ7JW7

pith:2014:DJCJ7JW7BZYUBE2LEJRLTLUT5E

not attested not anchored not stored refs pending

Error bounds and exponential improvement for the asymptotic expansion of the Barnes $G$-function

Gerg\H{o} Nemes

arxiv:1406.2535 v2 · 2014-06-10 · 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{DJCJ7JW7BZYUBE2LEJRLTLUT5E}

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	2026-05-18T02:39:25.411957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a449fa6df0e7140934b2262b9ae93e920b1d75c784211d6993f053e6f39245d

Aliases

arxiv: 1406.2535 · arxiv_version: 1406.2535v2 · doi: 10.48550/arxiv.1406.2535 · pith_short_12: DJCJ7JW7BZYU · pith_short_16: DJCJ7JW7BZYUBE2L · pith_short_8: DJCJ7JW7

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/DJCJ7JW7BZYUBE2LEJRLTLUT5E \
  | 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: 1a449fa6df0e7140934b2262b9ae93e920b1d75c784211d6993f053e6f39245d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ad257e988046e338c4e68e96729add96d8c233cabcd639d99e7a0a42ef2aaaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-06-10T13:01:22Z",
    "title_canon_sha256": "6499b88667416472a73ec4758b6e4289d72d958927ef1ad3985fb4dd62cf4537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.2535",
    "kind": "arxiv",
    "version": 2
  }
}