Pith Number

pith:FRMYIZW4

pith:2012:FRMYIZW4QHOUAJ45KY4IVFXOWP

not attested not anchored not stored refs pending

New properties of multiple harmonic sums modulo $p$ and $p$-analogues of Leshchiner's series

Khodabakhsh Hessami Pilehrood, Roberto Tauraso, Tatiana Hessami Pilehrood

arxiv:1206.0407 v3 · 2012-06-02 · math.NT · 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{FRMYIZW4QHOUAJ45KY4IVFXOWP}

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	2026-05-18T03:30:12.507532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c598466dc81dd40279d56388a96eeb3e7351db016f562681635910011fffc1e

Aliases

arxiv: 1206.0407 · arxiv_version: 1206.0407v3 · doi: 10.48550/arxiv.1206.0407 · pith_short_12: FRMYIZW4QHOU · pith_short_16: FRMYIZW4QHOUAJ45 · pith_short_8: FRMYIZW4

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/FRMYIZW4QHOUAJ45KY4IVFXOWP \
  | 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: 2c598466dc81dd40279d56388a96eeb3e7351db016f562681635910011fffc1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f819d7039e74241a6b3b63556a0a64fcf4447eabe3c954468c7737114e7e24f8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-02T22:20:33Z",
    "title_canon_sha256": "d101fac9cf67bf6d1bbd25b31b265ca44635a90579f9c79ea13cac1adebca7a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0407",
    "kind": "arxiv",
    "version": 3
  }
}