Pith Number

pith:44O7CJVA

pith:2012:44O7CJVAQHK5Q3ODWIEWXY7KFD

not attested not anchored not stored refs pending

On the further properties of $\{U_n\}$

Zhi-Hong Sun

arxiv:1203.5977 v4 · 2012-03-27 · 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{44O7CJVAQHK5Q3ODWIEWXY7KFD}

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	2026-05-18T03:57:28.210958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e71df126a081d5d86dc3b2096be3ea28e606b8425142f3bf765cf24d8e5702e9

Aliases

arxiv: 1203.5977 · arxiv_version: 1203.5977v4 · doi: 10.48550/arxiv.1203.5977 · pith_short_12: 44O7CJVAQHK5 · pith_short_16: 44O7CJVAQHK5Q3OD · pith_short_8: 44O7CJVA

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/44O7CJVAQHK5Q3ODWIEWXY7KFD \
  | 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: e71df126a081d5d86dc3b2096be3ea28e606b8425142f3bf765cf24d8e5702e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f74cd7f33bdf2b16bf9c939b10fde01ef10d8bed434cc44c648d4c2a3f228df",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-27T14:23:26Z",
    "title_canon_sha256": "5779f499f97e8cc1ce5da115a3616b4ab48b88dcefaccd504741a57c49043555"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5977",
    "kind": "arxiv",
    "version": 4
  }
}