Pith Number

pith:4CQQHLVS

pith:2011:4CQQHLVS7WKZSYDBIDFPRFD3GC

not attested not anchored not stored refs pending

A Few Equivalences of Wall-Sun-Sun Prime Conjecture

Arpan Saha, C S Karthik

arxiv:1102.1636 v2 · 2011-02-08 · math.NT · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CQQHLVS7WKZSYDBIDFPRFD3GC}

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	2026-05-18T04:26:55.459894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0a103aeb2fd9599606140caf8947b30a1ef744a9c086cad8c00fc5586a96428

Aliases

arxiv: 1102.1636 · arxiv_version: 1102.1636v2 · doi: 10.48550/arxiv.1102.1636 · pith_short_12: 4CQQHLVS7WKZ · pith_short_16: 4CQQHLVS7WKZSYDB · pith_short_8: 4CQQHLVS

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/4CQQHLVS7WKZSYDBIDFPRFD3GC \
  | 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: e0a103aeb2fd9599606140caf8947b30a1ef744a9c086cad8c00fc5586a96428

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "290c88c8bfbc7969b7be2e1bf7681ef7f68a7c9cdc3303bc39ac221031a4b527",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-08T16:11:49Z",
    "title_canon_sha256": "f6714db3ce87579447fe6e6252802e7f6d599b4013f69fd8b96f074ef7bb9788"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1636",
    "kind": "arxiv",
    "version": 2
  }
}