Pith Number

pith:FUTQ5MYX

pith:2026:FUTQ5MYXTN7QPW22SL4Q4CZ7VU

not attested not anchored not stored refs pending

A Graphical Calculus for Induction and Restriction on Temperley-Lieb Modules

Alistair Savage

arxiv:2606.23340 v1 · 2026-06-22 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FUTQ5MYXTN7QPW22SL4Q4CZ7VU}

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	2026-06-23T03:14:17.250240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d270eb3179b7f07db5a92f90e0b3fad1973706b00d7d0224c5a132e3aeb29c0

Aliases

arxiv: 2606.23340 · arxiv_version: 2606.23340v1 · doi: 10.48550/arxiv.2606.23340 · pith_short_12: FUTQ5MYXTN7Q · pith_short_16: FUTQ5MYXTN7QPW22 · pith_short_8: FUTQ5MYX

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/FUTQ5MYXTN7QPW22SL4Q4CZ7VU \
  | 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: 2d270eb3179b7f07db5a92f90e0b3fad1973706b00d7d0224c5a132e3aeb29c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d469fefa71b6919ecc4c0ea96988d8de8ead8937a61cd2287e6a736dcdf13263",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-06-22T13:45:33Z",
    "title_canon_sha256": "4844924c2e07e009483e12f7c9808e926a6cb11feb8820b344c755d26c9bf3ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23340",
    "kind": "arxiv",
    "version": 1
  }
}