Pith Number

pith:GPPRZVFD

pith:2021:GPPRZVFDWJKLIOS6LYATVRROY2

not attested not anchored not stored refs pending

Binary Signed-Digit Integers and the Stern Polynomial

Laura Monroe

arxiv:2108.12417 v1 · 2021-08-27 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPPRZVFDWJKLIOS6LYATVRROY2}

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	2026-07-05T03:09:25.267867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33df1cd4a3b254b43a5e5e013ac62ec6af82a66d5a1d02ae359df308676fbff3

Aliases

arxiv: 2108.12417 · arxiv_version: 2108.12417v1 · doi: 10.48550/arxiv.2108.12417 · pith_short_12: GPPRZVFDWJKL · pith_short_16: GPPRZVFDWJKLIOS6 · pith_short_8: GPPRZVFD

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/GPPRZVFDWJKLIOS6LYATVRROY2 \
  | 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: 33df1cd4a3b254b43a5e5e013ac62ec6af82a66d5a1d02ae359df308676fbff3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c857298e28364c1c7ef0c23e476b5ced0f3324a1b4ab9e357712dca5f4df54d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-08-27T17:51:54Z",
    "title_canon_sha256": "ceb6f4899bec7fab9fd082872b98d1e4ebd98aa4a850830880ac64359d5b142e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.12417",
    "kind": "arxiv",
    "version": 1
  }
}