Pith Number

pith:AOW4B6YI

pith:2013:AOW4B6YIOACGZBNMP6UBOSZFC4

not attested not anchored not stored refs pending

Symmetric identities of q-Euler polynomials

Dae San Kim, Taekyun Kim

arxiv:1310.1658 v1 · 2013-10-07 · 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{AOW4B6YIOACGZBNMP6UBOSZFC4}

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	2026-05-18T03:11:11.074148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03adc0fb0870046c85ac7fa8174b25171029c3f86de5c12b2f14304bfb34e92e

Aliases

arxiv: 1310.1658 · arxiv_version: 1310.1658v1 · doi: 10.48550/arxiv.1310.1658 · pith_short_12: AOW4B6YIOACG · pith_short_16: AOW4B6YIOACGZBNM · pith_short_8: AOW4B6YI

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/AOW4B6YIOACGZBNMP6UBOSZFC4 \
  | 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: 03adc0fb0870046c85ac7fa8174b25171029c3f86de5c12b2f14304bfb34e92e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d9e8a84670734541bcc05fbc6f9cad949638146d6834894f3106c7f83ebc0fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-07T02:23:13Z",
    "title_canon_sha256": "8a804dc2b4bb712dcbc5cc707e9de451f126c84307e948cdfb28d074ea270a15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1658",
    "kind": "arxiv",
    "version": 1
  }
}