Pith Number

pith:7MNSF7YW

pith:2025:7MNSF7YWSCOYXNFWVPYFH4BGUN

not attested not anchored not stored refs pending

A Lie-algebraic perspective on Tree-Adjoining Grammars

Elizabeth Xiao, Isabella Senturia, Matilde Marcolli

arxiv:2507.03234 v1 · 2025-07-04 · cs.CL · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7MNSF7YWSCOYXNFWVPYFH4BGUN}

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	2026-07-05T11:31:55.366663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb1b22ff16909d8bb4b6abf053f026a34d4b7828dfd63465fcd0c74c10450016

Aliases

arxiv: 2507.03234 · arxiv_version: 2507.03234v1 · doi: 10.48550/arxiv.2507.03234 · pith_short_12: 7MNSF7YWSCOY · pith_short_16: 7MNSF7YWSCOYXNFW · pith_short_8: 7MNSF7YW

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/7MNSF7YWSCOYXNFWVPYFH4BGUN \
  | 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: fb1b22ff16909d8bb4b6abf053f026a34d4b7828dfd63465fcd0c74c10450016

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2476e604db10f235712977b47564a156d99ace7b8bee15ae8c71c2475b263f7",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2025-07-04T00:25:27Z",
    "title_canon_sha256": "8afe3102b03fffd01bdcf702e98ce96938c60afe8cf91533f16464d5e9aaced0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.03234",
    "kind": "arxiv",
    "version": 1
  }
}