Pith Number

pith:RWVEZCBS

pith:2013:RWVEZCBSGFZHT5Z4MV6L3RZIIT

not attested not anchored not stored refs pending

Higher-order Bernoulli and poly-Bernoulli mixed type polynomials

Dae San Kim, Taekyun Kim

arxiv:1307.1793 v1 · 2013-07-06 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RWVEZCBSGFZHT5Z4MV6L3RZIIT}

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	2026-05-18T03:19:03.477392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8daa4c8832317279f73c657cbdc72844e7c2c98c503bfca0fa044152be93c46c

Aliases

arxiv: 1307.1793 · arxiv_version: 1307.1793v1 · doi: 10.48550/arxiv.1307.1793 · pith_short_12: RWVEZCBSGFZH · pith_short_16: RWVEZCBSGFZHT5Z4 · pith_short_8: RWVEZCBS

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/RWVEZCBSGFZHT5Z4MV6L3RZIIT \
  | 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: 8daa4c8832317279f73c657cbdc72844e7c2c98c503bfca0fa044152be93c46c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be90b010b9e313a9799d9242eb47298998c7f5a9f9624545f04053be4727e285",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-06T15:23:12Z",
    "title_canon_sha256": "ca9e4d4af76f988416420131d4b14a043966b217433f54162b73ec3163e955ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1793",
    "kind": "arxiv",
    "version": 1
  }
}