Pith Number

pith:4XZMJDHT

pith:2025:4XZMJDHTAF7UKWRAZDXJTT6JDJ

not attested not anchored not stored refs pending

Theta Theory: operads and coloring

Matilde Marcolli, Richard K. Larson

arxiv:2503.06091 v1 · 2025-03-08 · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XZMJDHTAF7UKWRAZDXJTT6JDJ}

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

Hypermagmas and Colored Operads: Heads, Phases, and Theta Roles

Receipt and verification

First computed	2026-07-05T10:26:53.727489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5f2c48cf3017f455a20c8ee99cfc91a66c4f6ff60f68cd2a52e6a7f88fce17d

Aliases

arxiv: 2503.06091 · arxiv_version: 2503.06091v1 · doi: 10.48550/arxiv.2503.06091 · pith_short_12: 4XZMJDHTAF7U · pith_short_16: 4XZMJDHTAF7UKWRA · pith_short_8: 4XZMJDHT

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/4XZMJDHTAF7UKWRAZDXJTT6JDJ \
  | 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: e5f2c48cf3017f455a20c8ee99cfc91a66c4f6ff60f68cd2a52e6a7f88fce17d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1760a0438041051676a5aa22884579f3c2ce9429ff9618322732329a0b5d1752",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2025-03-08T06:39:51Z",
    "title_canon_sha256": "0213d533a615d9d3b85799eefc674eb250e5f70c55711dd3faac8d29085af00d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.06091",
    "kind": "arxiv",
    "version": 1
  }
}