Pith Number

pith:TW4GZV23

pith:2018:TW4GZV23PWXJSGASEWENEPKTGL

not attested not anchored not stored refs pending

Combinatorial identities involving harmonic numbers

Necdet Batir

arxiv:1806.03022 v1 · 2018-06-08 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TW4GZV23PWXJSGASEWENEPKTGL}

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.

Cited by

1 paper in Pith

IBIS: Inverse BInomial sum Solver

Receipt and verification

First computed	2026-05-18T00:13:50.184807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9db86cd75b7dae9918122588d23d5332d63185331aa6b103f13baad3bd380fca

Aliases

arxiv: 1806.03022 · arxiv_version: 1806.03022v1 · doi: 10.48550/arxiv.1806.03022 · pith_short_12: TW4GZV23PWXJ · pith_short_16: TW4GZV23PWXJSGAS · pith_short_8: TW4GZV23

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/TW4GZV23PWXJSGASEWENEPKTGL \
  | 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: 9db86cd75b7dae9918122588d23d5332d63185331aa6b103f13baad3bd380fca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa17a9ca922913aeb666104dba3a368d4c35e7ff6bc6384556e71c6db9ac465f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-08T08:37:59Z",
    "title_canon_sha256": "b31f26accc897e23476cd3a4618ca1736515106c4e6df6537d8da0892dffcf25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03022",
    "kind": "arxiv",
    "version": 1
  }
}