Pith Number

pith:QGZ5SDF5

pith:2012:QGZ5SDF5ST67GLMLBEW35L3QN4

not attested not anchored not stored refs pending

Classification of resolving subcategories and grade consistent functions

Hailong Dao, Ryo Takahashi

arxiv:1202.5605 v3 · 2012-02-25 · math.AC · math.CT · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGZ5SDF5ST67GLMLBEW35L3QN4}

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	2026-05-18T03:20:58.903673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81b3d90cbd94fdf32d8b092dbeaf706f16d000634a61697c7904bb0aa7222798

Aliases

arxiv: 1202.5605 · arxiv_version: 1202.5605v3 · doi: 10.48550/arxiv.1202.5605 · pith_short_12: QGZ5SDF5ST67 · pith_short_16: QGZ5SDF5ST67GLML · pith_short_8: QGZ5SDF5

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/QGZ5SDF5ST67GLMLBEW35L3QN4 \
  | 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: 81b3d90cbd94fdf32d8b092dbeaf706f16d000634a61697c7904bb0aa7222798

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7816a2f252dd7646c045e491a27fb57139da5a2438a3a59d59bae51de237a93a",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-02-25T03:18:51Z",
    "title_canon_sha256": "34eebc807a6392a0cb17da4b10824b9cf8557fff6466085a731f2546e14737e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5605",
    "kind": "arxiv",
    "version": 3
  }
}