Pith Number

pith:NNWGGXC2

pith:2018:NNWGGXC2PC2ONNCY36GTKGFC26

not attested not anchored not stored refs pending

A Note on Harmonic number identities, Stirling series and multiple zeta values

Alois Panholzer, Markus Kuba

arxiv:1807.00711 v1 · 2018-07-02 · 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{NNWGGXC2PC2ONNCY36GTKGFC26}

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	2026-05-18T00:11:51.640203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b6c635c5a78b4e6b458df8d3518a2d7a207e0dec72ec2c382973786794d4341

Aliases

arxiv: 1807.00711 · arxiv_version: 1807.00711v1 · doi: 10.48550/arxiv.1807.00711 · pith_short_12: NNWGGXC2PC2O · pith_short_16: NNWGGXC2PC2ONNCY · pith_short_8: NNWGGXC2

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/NNWGGXC2PC2ONNCY36GTKGFC26 \
  | 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: 6b6c635c5a78b4e6b458df8d3518a2d7a207e0dec72ec2c382973786794d4341

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c7776068e3ee68cd5739c678cf4d0c7e2b680d488b7ddeb73fa38a9eeaa49e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-02T14:36:46Z",
    "title_canon_sha256": "97647462661612b5e60ccad364a2d39d2c0c4e8ec7b1dfceacfbe67b87cc12a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.00711",
    "kind": "arxiv",
    "version": 1
  }
}