Pith Number

pith:QTZUQVJG

pith:2016:QTZUQVJGV6DGUTOGHTAIA5GXGT

not attested not anchored not stored refs pending

On square-free values of large polynomials over the rational function field

Alexei Entin, Dan Carmon

arxiv:1605.07765 v1 · 2016-05-25 · 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{QTZUQVJGV6DGUTOGHTAIA5GXGT}

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	2026-05-18T01:13:39.161419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84f3485526af866a4dc63cc08074d734ca3795de3a92918c281198ce6b5297ea

Aliases

arxiv: 1605.07765 · arxiv_version: 1605.07765v1 · doi: 10.48550/arxiv.1605.07765 · pith_short_12: QTZUQVJGV6DG · pith_short_16: QTZUQVJGV6DGUTOG · pith_short_8: QTZUQVJG

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/QTZUQVJGV6DGUTOGHTAIA5GXGT \
  | 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: 84f3485526af866a4dc63cc08074d734ca3795de3a92918c281198ce6b5297ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ade33c6cbb9029a3d40dc122ecd25d631f9d1acc7705061f812e5f8be4763c76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-25T08:03:41Z",
    "title_canon_sha256": "7a9014677202f09c647b291233de0ce3b641b3d46008aa1bcbf0970d294f1f94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07765",
    "kind": "arxiv",
    "version": 1
  }
}