Pith Number

pith:SX3RGPBT

pith:2021:SX3RGPBT6LVLDWTKP2LUXMBYCR

not attested not anchored not stored refs pending

Binary Signed-Digit Integers, the Stern Diatomic Sequence and Stern Polynomials

Laura Monroe

arxiv:2103.05810 v3 · 2021-03-10 · math.NT · cs.DM · 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{SX3RGPBT6LVLDWTKP2LUXMBYCR}

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	2026-07-05T03:09:44.859335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95f7133c33f2eab1da6a7e974bb0381451fe39fece1dab3041b129a5e44fcef7

Aliases

arxiv: 2103.05810 · arxiv_version: 2103.05810v3 · doi: 10.48550/arxiv.2103.05810 · pith_short_12: SX3RGPBT6LVL · pith_short_16: SX3RGPBT6LVLDWTK · pith_short_8: SX3RGPBT

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/SX3RGPBT6LVLDWTKP2LUXMBYCR \
  | 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: 95f7133c33f2eab1da6a7e974bb0381451fe39fece1dab3041b129a5e44fcef7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da4541cca6f3185dee1b41ba2c00a90528c554f403f990416368cc328499a5fb",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-03-10T01:41:41Z",
    "title_canon_sha256": "f362c5bf8ef8dd450d7d78a05fe39d3d8fc0148c46e8a474c2950c2d89b9815b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.05810",
    "kind": "arxiv",
    "version": 3
  }
}