Pith Number

pith:RTKBDX55

pith:2019:RTKBDX55S7QCE4QQPFN77UU6AG

not attested not anchored not stored refs pending

A Generalization of Girstmair's Irreducibility Criterion

Jitender Singh, Sanjeev Kumar

arxiv:1909.05368 v2 · 2019-09-06 · math.HO · 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{RTKBDX55S7QCE4QQPFN77UU6AG}

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	2026-07-05T06:04:47.870914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cd411dfbd97e0227210795bffd29e01b99f15977775208233ef2bb0610168f8

Aliases

arxiv: 1909.05368 · arxiv_version: 1909.05368v2 · doi: 10.48550/arxiv.1909.05368 · pith_short_12: RTKBDX55S7QC · pith_short_16: RTKBDX55S7QCE4QQ · pith_short_8: RTKBDX55

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/RTKBDX55S7QCE4QQPFN77UU6AG \
  | 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: 8cd411dfbd97e0227210795bffd29e01b99f15977775208233ef2bb0610168f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "206e2ebe26b4a2ee443c9210e31c60b57c9d35cb326cee7bdfd7b0f1ad81a2b7",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2019-09-06T16:28:22Z",
    "title_canon_sha256": "c4b69050eab97654ca8f1e4cdc6076b89f8c4be709d2a0e0f4054c8dda8c92e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.05368",
    "kind": "arxiv",
    "version": 2
  }
}