Pith Number

pith:RHWILUNA

pith:2021:RHWILUNAFJUYTFSGBETDDLCCE2

not attested not anchored not stored refs pending

Categories of graphs for operadic structures

Philip Hackney

arxiv:2109.06231 v2 · 2021-09-13 · 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{RHWILUNAFJUYTFSGBETDDLCCE2}

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

2-dimensional TFTs via modular $\infty$-operads

Receipt and verification

First computed	2026-07-05T10:25:57.352046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89ec85d1a02a69899646092631ac422680c24a8d518e529cbf36dd174fec11d7

Aliases

arxiv: 2109.06231 · arxiv_version: 2109.06231v2 · doi: 10.48550/arxiv.2109.06231 · pith_short_12: RHWILUNAFJUY · pith_short_16: RHWILUNAFJUYTFSG · pith_short_8: RHWILUNA

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/RHWILUNAFJUYTFSGBETDDLCCE2 \
  | 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: 89ec85d1a02a69899646092631ac422680c24a8d518e529cbf36dd174fec11d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c23a11e087d5c43ee41ef163d4f56709e82fa1a71653c62d44ff1d1836f702ac",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2021-09-13T18:05:19Z",
    "title_canon_sha256": "8ac3158078170184d688e5f5a2dbb70aeaa1f4cf9552d8499e9071ce1767e374"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.06231",
    "kind": "arxiv",
    "version": 2
  }
}