Pith Number

pith:MNHDHHPL

pith:2015:MNHDHHPLFYTTRFTSZGJI564N2N

not attested not anchored not stored refs pending

Graded Leinster monoids and generalized Deligne conjecture for 1-monoidal abelian categories

Boris Shoikhet

arxiv:1504.02552 v5 · 2015-04-10 · math.QA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MNHDHHPLFYTTRFTSZGJI564N2N}

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	2026-05-18T00:52:34.585386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

634e339deb2e27389672c9928efb8dd3607a78670e5854ecea57286487da254b

Aliases

arxiv: 1504.02552 · arxiv_version: 1504.02552v5 · doi: 10.48550/arxiv.1504.02552 · pith_short_12: MNHDHHPLFYTT · pith_short_16: MNHDHHPLFYTTRFTS · pith_short_8: MNHDHHPL

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/MNHDHHPLFYTTRFTSZGJI564N2N \
  | 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: 634e339deb2e27389672c9928efb8dd3607a78670e5854ecea57286487da254b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02d58563d1e45ee94e781c310d48df9be673485dabaecc7a89acf71bd31180a0",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-04-10T05:19:13Z",
    "title_canon_sha256": "52c199d7f1474454b1b53543bff73d5531ff43b3b34a82b6bd14397935e9906e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02552",
    "kind": "arxiv",
    "version": 5
  }
}