Pith Number

pith:CSUQKWG6

pith:2025:CSUQKWG6Y2VFLMKVJZNFDS6HIS

not attested not anchored not stored refs pending

Models for cyclic infinity operads

Brandon Doherty, Philip Hackney

arxiv:2506.15622 v2 · 2025-06-18 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CSUQKWG6Y2VFLMKVJZNFDS6HIS}

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	2026-07-05T11:36:33.219079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14a90558dec6aa55b1554e5a51cbc74484f12d127f6cb2f2fdd03fa185229444

Aliases

arxiv: 2506.15622 · arxiv_version: 2506.15622v2 · doi: 10.48550/arxiv.2506.15622 · pith_short_12: CSUQKWG6Y2VF · pith_short_16: CSUQKWG6Y2VFLMKV · pith_short_8: CSUQKWG6

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/CSUQKWG6Y2VFLMKVJZNFDS6HIS \
  | 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: 14a90558dec6aa55b1554e5a51cbc74484f12d127f6cb2f2fdd03fa185229444

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6748ea8774998f53f8b93dfc0721e66406709db408f0bc96a4d6b4c5fbd497fb",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-06-18T16:51:34Z",
    "title_canon_sha256": "2d60fe75bc78f260b91dc3dc1cc7dca7fbf82774a0e8a7f077466c5c344678f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.15622",
    "kind": "arxiv",
    "version": 2
  }
}