Pith Number

pith:QDJVE5S4

pith:2015:QDJVE5S4IJ2BGWQRBWK45YO4PG

not attested not anchored not stored refs pending

Generalized binomial transform applied to the divergent series

Hirofumi Yamada

arxiv:1511.08616 v2 · 2015-11-27 · quant-ph · hep-lat · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QDJVE5S4IJ2BGWQRBWK45YO4PG}

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	2026-05-18T00:49:19.319362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80d352765c4274135a110d95cee1dc79a3dd3594a62b8db1dcf89abee9dc1bc8

Aliases

arxiv: 1511.08616 · arxiv_version: 1511.08616v2 · doi: 10.48550/arxiv.1511.08616 · pith_short_12: QDJVE5S4IJ2B · pith_short_16: QDJVE5S4IJ2BGWQR · pith_short_8: QDJVE5S4

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/QDJVE5S4IJ2BGWQRBWK45YO4PG \
  | 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: 80d352765c4274135a110d95cee1dc79a3dd3594a62b8db1dcf89abee9dc1bc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4c6b1ed0eecadc2bb0aab08fbb51dcce0d1561c3af260e7eedf323d2cf63924",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-11-27T10:46:36Z",
    "title_canon_sha256": "574700d0bbacf90e43fae5d121c4a9f4f8dff1b93054c41b3e834c5f6fb03346"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08616",
    "kind": "arxiv",
    "version": 2
  }
}