Pith Number

pith:MW75TNBH

pith:2018:MW75TNBH2W6NJL43R6X6EVJPUK

not attested not anchored not stored refs pending

Polynomial products modulo primes and applications

Marc Munsch, Oleksiy Klurman

arxiv:1810.06310 v1 · 2018-10-15 · 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{MW75TNBH2W6NJL43R6X6EVJPUK}

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	2026-05-18T00:03:20.856411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65bfd9b427d5bcd4af9b8fafe2552fa28677bb38dfe5b66ffa645010a22d4deb

Aliases

arxiv: 1810.06310 · arxiv_version: 1810.06310v1 · doi: 10.48550/arxiv.1810.06310 · pith_short_12: MW75TNBH2W6N · pith_short_16: MW75TNBH2W6NJL43 · pith_short_8: MW75TNBH

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/MW75TNBH2W6NJL43R6X6EVJPUK \
  | 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: 65bfd9b427d5bcd4af9b8fafe2552fa28677bb38dfe5b66ffa645010a22d4deb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6579f30f51e9d9823bb8aaf008b01205196c686c2bace40dbf4dc56e945412d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-15T12:40:27Z",
    "title_canon_sha256": "4693bfdcb60c03d950050304b49a1d3a04147a77defe74ab4e5ff77bd2cd3da7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06310",
    "kind": "arxiv",
    "version": 1
  }
}