Pith Number

pith:L5JLW2L3

pith:2012:L5JLW2L3RAMSZ6SZDPRZPANWE6

not attested not anchored not stored refs pending

Some identities of Frobenius-Euler polynomials arising from Frobenius-Euler basis

Dae San Kim, Taekyun Kim

arxiv:1211.6640 v1 · 2012-11-21 · 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{L5JLW2L3RAMSZ6SZDPRZPANWE6}

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	2026-05-18T03:39:44.131878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f52bb697b88192cfa591be39781b627899cf46f8025b296f5c0ddca8d7137b7

Aliases

arxiv: 1211.6640 · arxiv_version: 1211.6640v1 · doi: 10.48550/arxiv.1211.6640 · pith_short_12: L5JLW2L3RAMS · pith_short_16: L5JLW2L3RAMSZ6SZ · pith_short_8: L5JLW2L3

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/L5JLW2L3RAMSZ6SZDPRZPANWE6 \
  | 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: 5f52bb697b88192cfa591be39781b627899cf46f8025b296f5c0ddca8d7137b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15a0f0392df415f505857d64c286d1e3d85068d884463ed4236b90ad1e2ac185",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-21T05:57:33Z",
    "title_canon_sha256": "6829d24059327af236c026b02829de211f7e13261f572ab6a3a687a942db5501"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6640",
    "kind": "arxiv",
    "version": 1
  }
}