Pith Number

pith:4GTYV7HJ

pith:2016:4GTYV7HJXBSZFTD5HKP6VTFCKR

not attested not anchored not stored refs pending

Fractional Euler Limits and Their Applications

Bruce I Henry, Shev MacNamara, William McLean

arxiv:1609.04772 v1 · 2016-09-10 · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GTYV7HJXBSZFTD5HKP6VTFCKR}

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	2026-05-18T01:04:35.612096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1a78afce9b86592cc7d3a9feacca254470d9a0d4fb00ccba72f339d5539fe56

Aliases

arxiv: 1609.04772 · arxiv_version: 1609.04772v1 · doi: 10.48550/arxiv.1609.04772 · pith_short_12: 4GTYV7HJXBSZ · pith_short_16: 4GTYV7HJXBSZFTD5 · pith_short_8: 4GTYV7HJ

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/4GTYV7HJXBSZFTD5HKP6VTFCKR \
  | 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: e1a78afce9b86592cc7d3a9feacca254470d9a0d4fb00ccba72f339d5539fe56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfb835a19b5bba7401cf5a70a7951193ef9a2ae77e7ae4ffa8b12187d9d0db2a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-09-10T04:38:16Z",
    "title_canon_sha256": "4adf1690f063571b55133c9ca15b79246e4319d1ee0b1c89ccc98713068ae07d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04772",
    "kind": "arxiv",
    "version": 1
  }
}