Pith Number

pith:4K2UDDKL

pith:2016:4K2UDDKLOL54VNEAXZZS37QMAV

not attested not anchored not stored refs pending

Some identities of Eulerian polynomials arising from nonlinear differential equations

Dae San Kim, Taekyun Kim

arxiv:1603.07826 v1 · 2016-03-25 · 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{4K2UDDKLOL54VNEAXZZS37QMAV}

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	2026-05-18T01:18:17.721823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2b5418d4b72fbcab480be732dfe0c056a1facf73e9897bc385b6227cb014d8f

Aliases

arxiv: 1603.07826 · arxiv_version: 1603.07826v1 · doi: 10.48550/arxiv.1603.07826 · pith_short_12: 4K2UDDKLOL54 · pith_short_16: 4K2UDDKLOL54VNEA · pith_short_8: 4K2UDDKL

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/4K2UDDKLOL54VNEAXZZS37QMAV \
  | 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: e2b5418d4b72fbcab480be732dfe0c056a1facf73e9897bc385b6227cb014d8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1256dccf624d162336768d90b4228dcab0aa5a53f4c11a2e1f3121933664853e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-25T05:44:55Z",
    "title_canon_sha256": "366b44f7edc9c598713f0f3ac31f30d79be2f6fd4828842329498319508c2343"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07826",
    "kind": "arxiv",
    "version": 1
  }
}