Pith Number

pith:M2MHL6PW

pith:2013:M2MHL6PWQT6ONJSKH4XKFJBIOP

not attested not anchored not stored refs pending

Identities of symmetry for (h;q)-extension of higher-order Euler polynomials

Dae San Kim, Taekyun Kim

arxiv:1312.3993 v1 · 2013-12-14 · 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{M2MHL6PWQT6ONJSKH4XKFJBIOP}

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	2026-05-18T03:04:36.339506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

669875f9f684fce6a64a3f2ea2a42873c139f1b20a4f223946b71896a5de71cb

Aliases

arxiv: 1312.3993 · arxiv_version: 1312.3993v1 · doi: 10.48550/arxiv.1312.3993 · pith_short_12: M2MHL6PWQT6O · pith_short_16: M2MHL6PWQT6ONJSK · pith_short_8: M2MHL6PW

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/M2MHL6PWQT6ONJSKH4XKFJBIOP \
  | 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: 669875f9f684fce6a64a3f2ea2a42873c139f1b20a4f223946b71896a5de71cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5958eb373af9a6edeae594df8cdafbd7b4358a0287c5f658aa46931207807d3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-14T01:09:05Z",
    "title_canon_sha256": "5f10a200fb085221d3d984fde36262c653555183a892c80a3b97482036ae9133"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3993",
    "kind": "arxiv",
    "version": 1
  }
}