Pith Number

pith:55ROHOCC

pith:2012:55ROHOCCHV56AD6TSOFBPZBL7E

not attested not anchored not stored refs pending

Some identities of polynomials arising from umbral calculus

Dae San Kim, Seog-Hoon Rim, Taekyun Kim

arxiv:1211.3738 v1 · 2012-11-15 · 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{55ROHOCCHV56AD6TSOFBPZBL7E}

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	2026-05-18T03:40:38.099099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef62e3b8423d7be00fd3938a17e42bf91ae4f3f7a3053a0621fde0268aa28541

Aliases

arxiv: 1211.3738 · arxiv_version: 1211.3738v1 · doi: 10.48550/arxiv.1211.3738 · pith_short_12: 55ROHOCCHV56 · pith_short_16: 55ROHOCCHV56AD6T · pith_short_8: 55ROHOCC

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/55ROHOCCHV56AD6TSOFBPZBL7E \
  | 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: ef62e3b8423d7be00fd3938a17e42bf91ae4f3f7a3053a0621fde0268aa28541

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5811f29b9998b3fa01968173bb23788e1a50189b602ed0cb0dd993122053682b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-15T02:34:15Z",
    "title_canon_sha256": "06346cacc4184d460294b7dc69bc2358bc2502f6eb8c5fbfc8253b0ae7f9bead"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3738",
    "kind": "arxiv",
    "version": 1
  }
}