Pith Number

pith:LB6VXT4W

pith:2013:LB6VXT4W4Q6LSA7Y6WACGFWUKA

not attested not anchored not stored refs pending

The elementary symmetric functions of reciprocals of the elements of arithmetic progressions

Chunlin Wang, Shaofang Hong

arxiv:1311.1389 v2 · 2013-11-06 · 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{LB6VXT4W4Q6LSA7Y6WACGFWUKA}

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	2026-05-18T02:55:48.226882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

587d5bcf96e43cb903f8f5802316d45021244c82679dcaef22ab0e7a1c26dbed

Aliases

arxiv: 1311.1389 · arxiv_version: 1311.1389v2 · doi: 10.48550/arxiv.1311.1389 · pith_short_12: LB6VXT4W4Q6L · pith_short_16: LB6VXT4W4Q6LSA7Y · pith_short_8: LB6VXT4W

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/LB6VXT4W4Q6LSA7Y6WACGFWUKA \
  | 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: 587d5bcf96e43cb903f8f5802316d45021244c82679dcaef22ab0e7a1c26dbed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa916e3f3b87d756dfc8ca0992b93cade0f402fbdab3355b6a1a71ff05c820cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-06T13:43:46Z",
    "title_canon_sha256": "b9575e3936f2a3ba6781420a5959d988825a7306a9f7257b1903849bc2988a47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1389",
    "kind": "arxiv",
    "version": 2
  }
}