Pith Number

pith:PJOUM3DT

pith:2025:PJOUM3DTDNEKOOYJFKEHPBT3YX

not attested not anchored not stored refs pending

A primer on the closure of algebraic complexity classes under factoring

C. S. Bhargav, Nitin Saxena, Prateek Dwivedi

arxiv:2506.19604 v2 · 2025-06-24 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJOUM3DTDNEKOOYJFKEHPBT3YX}

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.

Cited by

1 paper in Pith

Deterministic Algorithms for Low Individual Degree Factors of Sparse Polynomials

Receipt and verification

First computed	2026-06-11T00:08:10.727865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a5d466c731b48a73b092a8877867bc5d95626c70a612bf46213f264c4d4f7f3

Aliases

arxiv: 2506.19604 · arxiv_version: 2506.19604v2 · doi: 10.48550/arxiv.2506.19604 · pith_short_12: PJOUM3DTDNEK · pith_short_16: PJOUM3DTDNEKOOYJ · pith_short_8: PJOUM3DT

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/PJOUM3DTDNEKOOYJFKEHPBT3YX \
  | 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: 7a5d466c731b48a73b092a8877867bc5d95626c70a612bf46213f264c4d4f7f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "279dd54612a0fb7e70e2989b2c16d8b14e7eafc546fada2a4cbaa38edc1ce1c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2025-06-24T13:17:37Z",
    "title_canon_sha256": "4f0ea43e6f5a24fe08e3377b58070ee41db03fff9bd72ae8d60613b6dc2abf7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.19604",
    "kind": "arxiv",
    "version": 2
  }
}