Pith Number

pith:LIRKGRQO

pith:2014:LIRKGRQOU7LIOQX74RQKKBXBVB

not attested not anchored not stored refs pending

Abel's Lemma and Identities on Harmonic Numbers

Daniel K. Du, Hai-Tao Jin

arxiv:1411.6916 v1 · 2014-11-25 · math.CO · 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{LIRKGRQOU7LIOQX74RQKKBXBVB}

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	2026-05-18T02:32:46.979352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a22a3460ea7d68742ffe460a506e1a845a4acde0a13f15bbf9fcb9f2e89796d

Aliases

arxiv: 1411.6916 · arxiv_version: 1411.6916v1 · doi: 10.48550/arxiv.1411.6916 · pith_short_12: LIRKGRQOU7LI · pith_short_16: LIRKGRQOU7LIOQX7 · pith_short_8: LIRKGRQO

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/LIRKGRQOU7LIOQX74RQKKBXBVB \
  | 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: 5a22a3460ea7d68742ffe460a506e1a845a4acde0a13f15bbf9fcb9f2e89796d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ccb9f7ec41efb0aa64e743327ab90572954470004958c14cbe53aff7c79db91",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-25T16:51:45Z",
    "title_canon_sha256": "8ff528018bdd44047d567d705376852abf4d5d1a17ca308de41133f262e45ea1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6916",
    "kind": "arxiv",
    "version": 1
  }
}