Pith Number

pith:PCZRHRFI

pith:2025:PCZRHRFIODOZXK23AYXGOIC5ZV

not attested not anchored not stored refs pending

A generalization of Dumas irreducibility criterion

Jitender Singh

arxiv:2505.08549 v3 · 2025-05-13 · math.NT · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCZRHRFIODOZXK23AYXGOIC5ZV}

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	2026-05-20T00:02:50.256659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78b313c4a870dd9bab5b062e67205dcd459ebd3c12e3bbd3b56d79c3900a5285

Aliases

arxiv: 2505.08549 · arxiv_version: 2505.08549v3 · doi: 10.48550/arxiv.2505.08549 · pith_short_12: PCZRHRFIODOZ · pith_short_16: PCZRHRFIODOZXK23 · pith_short_8: PCZRHRFI

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/PCZRHRFIODOZXK23AYXGOIC5ZV \
  | 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: 78b313c4a870dd9bab5b062e67205dcd459ebd3c12e3bbd3b56d79c3900a5285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53915a925e36c62c1dcf9cde4f4cc6f1ff51c5b2e440cb80f94b01fa2c7dd58d",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-13T13:21:39Z",
    "title_canon_sha256": "ceafab1581ca62ce199d02e8a2d8273b2c489c026a91c170ede0b830457df548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.08549",
    "kind": "arxiv",
    "version": 3
  }
}