Pith Number

pith:QPC4IT7O

pith:2016:QPC4IT7OTJ4G5EAQETGDORTHDE

not attested not anchored not stored refs pending

Permutahedral Structures of $E_2$ Operads

Ralph M. Kaufmann, Yongheng Zhang

arxiv:1602.08247 v1 · 2016-02-26 · 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{QPC4IT7OTJ4G5EAQETGDORTHDE}

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	2026-05-18T00:43:18.666688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83c5c44fee9a786e901024cc374667192f5c7b3483afdde52307cc92f80b337e

Aliases

arxiv: 1602.08247 · arxiv_version: 1602.08247v1 · doi: 10.48550/arxiv.1602.08247 · pith_short_12: QPC4IT7OTJ4G · pith_short_16: QPC4IT7OTJ4G5EAQ · pith_short_8: QPC4IT7O

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/QPC4IT7OTJ4G5EAQETGDORTHDE \
  | 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: 83c5c44fee9a786e901024cc374667192f5c7b3483afdde52307cc92f80b337e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06e6446b27096ea66f80fcde253dd531e3fd9f8aa8be5312b0b0fa4e136ffecf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-02-26T09:10:55Z",
    "title_canon_sha256": "9a307ba545a9b23b5a7c0707442914a7698585deb7cf490346e8702495c8bed2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08247",
    "kind": "arxiv",
    "version": 1
  }
}