Pith Number

pith:P7C5X7SI

pith:2009:P7C5X7SI4JFPMNN2LDP4IYD24V

not attested not anchored not stored refs pending

On linear forms containing the Euler constant

A.I.Aptekarev

arxiv:0902.1768 v2 · 2009-02-10 · math.NT · 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{P7C5X7SI4JFPMNN2LDP4IYD24V}

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.

Cited by

1 paper in Pith

Transcendence Results for $\Gamma^{(n)}(1)$ and Related Sequences of Generalized Constants

Receipt and verification

First computed	2026-07-04T15:38:48.964184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fc5dbfe48e24af635ba58dfc4607ae569ec23d7ba47ca6e04f8a562d45fce93

Aliases

arxiv: 0902.1768 · arxiv_version: 0902.1768v2 · doi: 10.48550/arxiv.0902.1768 · pith_short_12: P7C5X7SI4JFP · pith_short_16: P7C5X7SI4JFPMNN2 · pith_short_8: P7C5X7SI

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/P7C5X7SI4JFPMNN2LDP4IYD24V \
  | 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: 7fc5dbfe48e24af635ba58dfc4607ae569ec23d7ba47ca6e04f8a562d45fce93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "645fdbbbb2cdafdf3add207635b891685d89d34c15ef9696b3049e5531f67399",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-02-10T22:29:58Z",
    "title_canon_sha256": "c85a180a118fdca73673c5cd4403aafbfdb8fba0be3b6af0e6e5337cd218ffee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1768",
    "kind": "arxiv",
    "version": 2
  }
}