Pith Number

pith:TG3DTUVC

pith:2009:TG3DTUVCD6R6PZ6A3Y5IH3KOVR

not attested not anchored not stored refs pending

On the topology of sums in powers of an algebraic number

Boris Solomyak, Nikita Sidorov

arxiv:0909.3324 v3 · 2009-09-17 · 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{TG3DTUVCD6R6PZ6A3Y5IH3KOVR}

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	2026-05-18T04:17:03.479579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99b639d2a21fa3e7e7c0de3a83ed4eac7038ae39db28878f91f7df66ed2eb49b

Aliases

arxiv: 0909.3324 · arxiv_version: 0909.3324v3 · doi: 10.48550/arxiv.0909.3324 · pith_short_12: TG3DTUVCD6R6 · pith_short_16: TG3DTUVCD6R6PZ6A · pith_short_8: TG3DTUVC

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/TG3DTUVCD6R6PZ6A3Y5IH3KOVR \
  | 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: 99b639d2a21fa3e7e7c0de3a83ed4eac7038ae39db28878f91f7df66ed2eb49b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80c3db6c2064a4bc661eb31cb57ba5c9c9869b0eb997fe5130e6366790fc5213",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-09-17T21:42:37Z",
    "title_canon_sha256": "7971808f7cb21f6d54161a73c67ae04417fe100ccd633f5bc9a1a9914ff0d5a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.3324",
    "kind": "arxiv",
    "version": 3
  }
}