Pith Number

pith:ULVF6EHH

pith:2001:ULVF6EHH7YL627WRKDXDKLSD4J

not attested not anchored not stored refs pending

Operads, Algebras and Modules in General Model Categories

Markus Spitzweck

arxiv:math/0101102 v1 · 2001-01-11 · math.AT · 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{ULVF6EHH7YL627WRKDXDKLSD4J}

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.

Cited by

1 paper in Pith

Mapping spaces between operads in relation to bimodules

Receipt and verification

First computed	2026-07-04T14:35:01.453150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2ea5f10e7fe17ed7ed150ee352e43e251642fa69cdd0ce886edcd98ecc48e30

Aliases

arxiv: math/0101102 · arxiv_version: math/0101102v1 · doi: 10.48550/arxiv.math/0101102 · pith_short_12: ULVF6EHH7YL6 · pith_short_16: ULVF6EHH7YL627WR · pith_short_8: ULVF6EHH

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/ULVF6EHH7YL627WRKDXDKLSD4J \
  | 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: a2ea5f10e7fe17ed7ed150ee352e43e251642fa69cdd0ce886edcd98ecc48e30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "126540a4e69fd9b4714e108e0628aa48578b3c5a5df93114de4cbd04e04da4d9",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2001-01-11T15:56:18Z",
    "title_canon_sha256": "1cb08efde815469bd47c379cf78e78eaa4b62f489e23be523e8ccdaa3f06ccf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0101102",
    "kind": "arxiv",
    "version": 1
  }
}