Pith Number

pith:R7ZIMAC6

pith:2011:R7ZIMAC6OXKBG2PTC2ZHMGKFVM

not attested not anchored not stored refs pending

The Newman phenomenon and Lucas sequence

Alexandre Aksenov

arxiv:1108.5352 v3 · 2011-08-26 · 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{R7ZIMAC6OXKBG2PTC2ZHMGKFVM}

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	2026-05-18T04:02:11.818958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ff286005e75d41369f316b2761945ab2f4644478e967283df5ca9ed71cab234

Aliases

arxiv: 1108.5352 · arxiv_version: 1108.5352v3 · doi: 10.48550/arxiv.1108.5352 · pith_short_12: R7ZIMAC6OXKB · pith_short_16: R7ZIMAC6OXKBG2PT · pith_short_8: R7ZIMAC6

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/R7ZIMAC6OXKBG2PTC2ZHMGKFVM \
  | 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: 8ff286005e75d41369f316b2761945ab2f4644478e967283df5ca9ed71cab234

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edbc036a25ad97acdd41e0360542f5da7fddcf88fc92849c9e707f8936302058",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-26T17:04:12Z",
    "title_canon_sha256": "574cc4bc339b5e1b83d6a2de2defdc473f99c8ed3e713dfa7670f15fcc9f9f42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5352",
    "kind": "arxiv",
    "version": 3
  }
}