Pith Number

pith:6MZJHQOB

pith:2017:6MZJHQOBWOPQJIL3PXPS6J3YVU

not attested not anchored not stored refs pending

Resolving subcategories closed under certain operations and a conjecture of Dao and Takahashi

Arash Sadeghi, Ryo Takahashi

arxiv:1710.10018 v1 · 2017-10-27 · math.AC · 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{6MZJHQOBWOPQJIL3PXPS6J3YVU}

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	2026-05-18T00:31:54.974205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f33293c1c1b39f04a17b7ddf2f2778ad3449cca5038ccf3ea2c3c97bb1a3cede

Aliases

arxiv: 1710.10018 · arxiv_version: 1710.10018v1 · doi: 10.48550/arxiv.1710.10018 · pith_short_12: 6MZJHQOBWOPQ · pith_short_16: 6MZJHQOBWOPQJIL3 · pith_short_8: 6MZJHQOB

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/6MZJHQOBWOPQJIL3PXPS6J3YVU \
  | 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: f33293c1c1b39f04a17b7ddf2f2778ad3449cca5038ccf3ea2c3c97bb1a3cede

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "062092f9faeea5059ef1a2da44c72c01899e3f530ea0d88ad749ca4a4d72717a",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-10-27T07:59:54Z",
    "title_canon_sha256": "6406878beadbd8da0632855e6c0dbc1d9ace981d9cebda2c4ab2eb9e10ef4481"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10018",
    "kind": "arxiv",
    "version": 1
  }
}