Pith Number

pith:D3VL7OG7

pith:2013:D3VL7OG77CU6SPLZGB64LQMOHN

not attested not anchored not stored refs pending

A note on the generalized Bernoulli and Euler Polynomials

Bao Quoc Ta

arxiv:1307.4431 v1 · 2013-07-16 · 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{D3VL7OG77CU6SPLZGB64LQMOHN}

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	2026-05-18T03:18:17.970633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1eeabfb8dff8a9e93d79307dc5c18e3b41b3b0c9162bc2d9e768502add36ac5a

Aliases

arxiv: 1307.4431 · arxiv_version: 1307.4431v1 · doi: 10.48550/arxiv.1307.4431 · pith_short_12: D3VL7OG77CU6 · pith_short_16: D3VL7OG77CU6SPLZ · pith_short_8: D3VL7OG7

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/D3VL7OG77CU6SPLZGB64LQMOHN \
  | 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: 1eeabfb8dff8a9e93d79307dc5c18e3b41b3b0c9162bc2d9e768502add36ac5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd7c196237b8e3241641e8db285f111b5f800f04cf3d05ad7622a3f54d9d8d10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-16T21:31:03Z",
    "title_canon_sha256": "a2e78d8127012027f7fff4cd2472765c827177855d687100b1559392be5f90b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4431",
    "kind": "arxiv",
    "version": 1
  }
}