Pith Number

pith:Y7HPHTBP

pith:2019:Y7HPHTBPWHCBK2OEQS2LZ5LAQS

not attested not anchored not stored refs pending

Trinomials with given roots

Florian Luca, Yuri Bilu

arxiv:1908.01076 v2 · 2019-08-02 · 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{Y7HPHTBPWHCBK2OEQS2LZ5LAQS}

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	2026-07-05T00:00:16.002549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7cef3cc2fb1c41569c484b4bcf5608487634e2c8cfafbf10ab60c027d58ba2b

Aliases

arxiv: 1908.01076 · arxiv_version: 1908.01076v2 · doi: 10.48550/arxiv.1908.01076 · pith_short_12: Y7HPHTBPWHCB · pith_short_16: Y7HPHTBPWHCBK2OE · pith_short_8: Y7HPHTBP

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/Y7HPHTBPWHCBK2OEQS2LZ5LAQS \
  | 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: c7cef3cc2fb1c41569c484b4bcf5608487634e2c8cfafbf10ab60c027d58ba2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d65f488d4f43142ba6e64efb16b10b547ca7ef3b3cb8cd9fa85a4d9cd33dce7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-02T21:49:49Z",
    "title_canon_sha256": "c4e7005f540cc9bb98665eb2370afdddd97e9ac215b336d3916c7565c5aaa9af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01076",
    "kind": "arxiv",
    "version": 2
  }
}