Pith Number

pith:A32N2OHU

pith:2016:A32N2OHUZV4NCTUMDMRKUCRCKM

not attested not anchored not stored refs pending

Inverting operations in operads

Irina Bobkova, Kate Ponto, Maria Basterra, Sarah Yeakel, Ulrike Tillmann

arxiv:1611.00715 v2 · 2016-11-02 · 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{A32N2OHUZV4NCTUMDMRKUCRCKM}

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	2026-05-18T00:35:09.385128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06f4dd38f4cd78d14e8c1b22aa0a22533ea45304ff8d6e69d236e2eed0f6da9a

Aliases

arxiv: 1611.00715 · arxiv_version: 1611.00715v2 · doi: 10.48550/arxiv.1611.00715 · pith_short_12: A32N2OHUZV4N · pith_short_16: A32N2OHUZV4NCTUM · pith_short_8: A32N2OHU

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/A32N2OHUZV4NCTUMDMRKUCRCKM \
  | 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: 06f4dd38f4cd78d14e8c1b22aa0a22533ea45304ff8d6e69d236e2eed0f6da9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0909ec2cd4c9a65bd67dcb79aa774474473353699235cc3e1c8b844f7208df3b",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-11-02T18:28:49Z",
    "title_canon_sha256": "0fb77677780f6a1e993c8de41f86a44cf5b916fb80c4c51d82386095ca78e949"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00715",
    "kind": "arxiv",
    "version": 2
  }
}