Pith Number

pith:WC6OBSEL

pith:2017:WC6OBSEL2ZFKPLQSVMOHZ3S6MZ

not attested not anchored not stored refs pending

Shifts of the prime divisor function of Alladi and Erd\H{o}s

Snehal Shekatkar, Tian An Wong

arxiv:1710.10875 v1 · 2017-10-30 · 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{WC6OBSEL2ZFKPLQSVMOHZ3S6MZ}

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	2026-05-18T00:31:46.209887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0bce0c88bd64aa7ae12ab1c7cee5e6653304ccf0b223e1be8b8e7325968dbc2

Aliases

arxiv: 1710.10875 · arxiv_version: 1710.10875v1 · doi: 10.48550/arxiv.1710.10875 · pith_short_12: WC6OBSEL2ZFK · pith_short_16: WC6OBSEL2ZFKPLQS · pith_short_8: WC6OBSEL

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/WC6OBSEL2ZFKPLQSVMOHZ3S6MZ \
  | 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: b0bce0c88bd64aa7ae12ab1c7cee5e6653304ccf0b223e1be8b8e7325968dbc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfe3c922725a22f32af0943fb1d1d9408e4af89f7661ed35f7229ed417ca72b8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-30T11:21:17Z",
    "title_canon_sha256": "cb0d04b975ea222cf7423ba2f1339ae8d52c79bac917135d732c109129ba2555"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10875",
    "kind": "arxiv",
    "version": 1
  }
}