Pith Number

pith:DOIQDGER

pith:2015:DOIQDGERI55EKXAWMEXKBQZGMB

not attested not anchored not stored refs pending

The asymptotic expansion of a generalisation of the Euler-Jacobi series

R.B. Paris

arxiv:1503.07329 v1 · 2015-03-25 · 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{DOIQDGERI55EKXAWMEXKBQZGMB}

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	2026-05-18T02:20:21.413300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b91019891477a455c16612ea0c3266052b2c32df5b0936fbba1a66843e05bd6

Aliases

arxiv: 1503.07329 · arxiv_version: 1503.07329v1 · doi: 10.48550/arxiv.1503.07329 · pith_short_12: DOIQDGERI55E · pith_short_16: DOIQDGERI55EKXAW · pith_short_8: DOIQDGER

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/DOIQDGERI55EKXAWMEXKBQZGMB \
  | 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: 1b91019891477a455c16612ea0c3266052b2c32df5b0936fbba1a66843e05bd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd18bfe5456223ce0c299a817a325157b0e3d6923189ed09726754862537be95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-03-25T10:48:06Z",
    "title_canon_sha256": "69c82d4aa5ba0b62281eb42c60b73af43622e43b26d53c49521441d27f64fbe2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07329",
    "kind": "arxiv",
    "version": 1
  }
}