Pith Number

pith:TJPINNPK

pith:2018:TJPINNPKWZTOCAXQCE2JVQQTUA

not attested not anchored not stored refs pending

Composite polynomials in linear recurrence sequences

Christina Karolus, Clemens Fuchs

arxiv:1810.12141 v1 · 2018-10-29 · 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{TJPINNPKWZTOCAXQCE2JVQQTUA}

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	2026-05-18T00:02:04.179743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a5e86b5eab666e102f011349ac213a0024e526dedadd901947ac820feb29d1a

Aliases

arxiv: 1810.12141 · arxiv_version: 1810.12141v1 · doi: 10.48550/arxiv.1810.12141 · pith_short_12: TJPINNPKWZTO · pith_short_16: TJPINNPKWZTOCAXQ · pith_short_8: TJPINNPK

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/TJPINNPKWZTOCAXQCE2JVQQTUA \
  | 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: 9a5e86b5eab666e102f011349ac213a0024e526dedadd901947ac820feb29d1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a7d8b55c96755accf210a9592470d518432e5c97abdc06d0adbbf9df54e829c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-29T14:23:25Z",
    "title_canon_sha256": "a9a84d736236961af45e93ab380f6da55b1d4e7340326e4e19665ac1e529b257"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12141",
    "kind": "arxiv",
    "version": 1
  }
}