Pith Number

pith:CCDV3SAJ

pith:2013:CCDV3SAJ4KFBY33U33HGXPYNVE

not attested not anchored not stored refs pending

Homotopy theory for algebras over polynomial monads

Clemens Berger, Michael Batanin

arxiv:1305.0086 v7 · 2013-05-01 · math.CT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCDV3SAJ4KFBY33U33HGXPYNVE}

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	2026-05-18T00:51:19.455557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10875dc809e28a1c6f74dece6bbf0da9331f5fb9567c8eaecf4e18df6814ab76

Aliases

arxiv: 1305.0086 · arxiv_version: 1305.0086v7 · doi: 10.48550/arxiv.1305.0086 · pith_short_12: CCDV3SAJ4KFB · pith_short_16: CCDV3SAJ4KFBY33U · pith_short_8: CCDV3SAJ

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/CCDV3SAJ4KFBY33U33HGXPYNVE \
  | 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: 10875dc809e28a1c6f74dece6bbf0da9331f5fb9567c8eaecf4e18df6814ab76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f180fb2dc8b71cc9518fdd6c6b6549c47ad7cf4929dd926b447d63197f974a51",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-05-01T05:20:44Z",
    "title_canon_sha256": "f46b0a06c3e816e2b3c10e0e380f3e6fe7fd60d7969634d79e0bd1ffe01ba4e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0086",
    "kind": "arxiv",
    "version": 7
  }
}