Pith Number

pith:RZ2JI5AG

pith:2012:RZ2JI5AGDE23UZIEPN4FO5WJAS

not attested not anchored not stored refs pending

On the Stern sequence and its twisted version

Jean-Paul Allouche

arxiv:1202.4171 v2 · 2012-02-19 · 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{RZ2JI5AGDE23UZIEPN4FO5WJAS}

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	2026-05-18T03:26:20.817331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e749474061935ba65047b785776c904ac50e09b8e79cedd143ca0e5a9e85607

Aliases

arxiv: 1202.4171 · arxiv_version: 1202.4171v2 · doi: 10.48550/arxiv.1202.4171 · pith_short_12: RZ2JI5AGDE23 · pith_short_16: RZ2JI5AGDE23UZIE · pith_short_8: RZ2JI5AG

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/RZ2JI5AGDE23UZIEPN4FO5WJAS \
  | 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: 8e749474061935ba65047b785776c904ac50e09b8e79cedd143ca0e5a9e85607

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4162bfe80aafe216e2ecc4802cc5f4c81c828c726490f8776c93e5c9d3d7e36d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-19T17:09:08Z",
    "title_canon_sha256": "fefadddd7b25109340273c03e97c4c1cd74262933cf887f9184094acaf297746"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4171",
    "kind": "arxiv",
    "version": 2
  }
}