Pith Number

pith:HMACGZBL

pith:2010:HMACGZBLGX6S2WHWPRW7CWXDBP

not attested not anchored not stored refs pending

New identities involving q-Euler polynomials of higher order

Taekyun Kim, Y. H. Kim

arxiv:1001.0034 v1 · 2010-01-04 · 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{HMACGZBLGX6S2WHWPRW7CWXDBP}

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	2026-05-18T02:10:06.162395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b0023642b35fd2d58f67c6df15ae30bd4d2f1b57cac7781f60caf77ab33dce3

Aliases

arxiv: 1001.0034 · arxiv_version: 1001.0034v1 · doi: 10.48550/arxiv.1001.0034 · pith_short_12: HMACGZBLGX6S · pith_short_16: HMACGZBLGX6S2WHW · pith_short_8: HMACGZBL

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/HMACGZBLGX6S2WHWPRW7CWXDBP \
  | 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: 3b0023642b35fd2d58f67c6df15ae30bd4d2f1b57cac7781f60caf77ab33dce3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "814b39c43bff6919fe4a37218b73cb76e0672697c6ad18ab7943d773e1982678",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-01-04T15:34:13Z",
    "title_canon_sha256": "c5e3fbcd36fa9300b6f1d3c5788bd5a54c5b594602b2ceff2d7952c3900d2fd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0034",
    "kind": "arxiv",
    "version": 1
  }
}