Pith Number

pith:4TPQEZFJ

pith:2019:4TPQEZFJS5U2PMH3OO56EKOKHG

not attested not anchored not stored refs pending

Gauss' lemma for polynomials over semidomains

Peyman Nasehpour

arxiv:1906.06265 v1 · 2019-06-14 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TPQEZFJS5U2PMH3OO56EKOKHG}

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	2026-05-17T23:43:19.171086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4df0264a99769a7b0fb73bbe229ca398806a5d256f58fb4868c73f022bf9bcd

Aliases

arxiv: 1906.06265 · arxiv_version: 1906.06265v1 · doi: 10.48550/arxiv.1906.06265 · pith_short_12: 4TPQEZFJS5U2 · pith_short_16: 4TPQEZFJS5U2PMH3 · pith_short_8: 4TPQEZFJ

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/4TPQEZFJS5U2PMH3OO56EKOKHG \
  | 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: e4df0264a99769a7b0fb73bbe229ca398806a5d256f58fb4868c73f022bf9bcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "762b500587d0184fa0f32b4116877118e2e904b886647d2f65888fbec0f7a1d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-06-14T16:06:26Z",
    "title_canon_sha256": "929e40d71dbe74c60305fa9efe1f1a0ed9e3e8072d5d42d303ae22d1a8a38afb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06265",
    "kind": "arxiv",
    "version": 1
  }
}