Pith Number

pith:SWNPJI4A

pith:2026:SWNPJI4AHWNRZGXA3X24YKFV52

not attested not anchored not stored refs pending

Random Multiplicative Functions and Making Squares from Polynomial Values

Max Wenqiang Xu, R\'egis de la Bret\`eche, Victor Y. Wang

arxiv:2607.06398 v1 · 2026-07-07 · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SWNPJI4AHWNRZGXA3X24YKFV52}

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	2026-07-08T01:19:24.188976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

959af4a3803d9b1c9ae0ddf5cc28b5eea4a467a95c1e88cd49d7f77fc1192ab9

Aliases

arxiv: 2607.06398 · arxiv_version: 2607.06398v1 · doi: 10.48550/arxiv.2607.06398 · pith_short_12: SWNPJI4AHWNR · pith_short_16: SWNPJI4AHWNRZGXA · pith_short_8: SWNPJI4A

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/SWNPJI4AHWNRZGXA3X24YKFV52 \
  | 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: 959af4a3803d9b1c9ae0ddf5cc28b5eea4a467a95c1e88cd49d7f77fc1192ab9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37d6eea1a5c61185bcef6d7c1bd3bdfdf28498b3f91ce27b51b17e73ceaf881d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-07T15:29:17Z",
    "title_canon_sha256": "3d2cf839eafdc6b7486b3f5ee3d4cf7807cd86862a7df3484aa6a4c5042adc65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06398",
    "kind": "arxiv",
    "version": 1
  }
}