Pith Number

pith:C25FSOIR

pith:2015:C25FSOIRQLY7QAKUQEHMYZOFOG

not attested not anchored not stored refs pending

An operadic proof of Baez-Dolan stabilization hypothesis

Michael Batanin

arxiv:1511.09130 v3 · 2015-11-30 · 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{C25FSOIRQLY7QAKUQEHMYZOFOG}

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	2026-05-18T01:09:32.158050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16ba59391182f1f80154810ecc65c571b85b3b1cffe07b19d9bd919da2a5de57

Aliases

arxiv: 1511.09130 · arxiv_version: 1511.09130v3 · doi: 10.48550/arxiv.1511.09130 · pith_short_12: C25FSOIRQLY7 · pith_short_16: C25FSOIRQLY7QAKU · pith_short_8: C25FSOIR

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/C25FSOIRQLY7QAKUQEHMYZOFOG \
  | 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: 16ba59391182f1f80154810ecc65c571b85b3b1cffe07b19d9bd919da2a5de57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61e7bbbb7638f3caab92d74211de2999eb79e309d10829c74e51be774c300b4b",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-11-30T01:59:47Z",
    "title_canon_sha256": "6cc493573922deba6990fb9a738ccc283b1ce53aeb7f5d3869411c9e28e07334"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09130",
    "kind": "arxiv",
    "version": 3
  }
}