Pith Number

pith:DX4EFFB7

pith:2024:DX4EFFB7XBIHCQ4S774BQ6WSLQ

not attested not anchored not stored refs pending

Formal languages, spin systems, and quasicrystals

Francesca Fernandes, Matilde Marcolli

arxiv:2405.12485 v1 · 2024-05-21 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DX4EFFB7XBIHCQ4S774BQ6WSLQ}

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

Formal Languages and TQFTs with Defects

Receipt and verification

First computed	2026-07-05T08:21:20.758269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1df842943fb850714392fff8187ad25c3d53d639c4d3c7657dddfa23b6e675f4

Aliases

arxiv: 2405.12485 · arxiv_version: 2405.12485v1 · doi: 10.48550/arxiv.2405.12485 · pith_short_12: DX4EFFB7XBIH · pith_short_16: DX4EFFB7XBIHCQ4S · pith_short_8: DX4EFFB7

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/DX4EFFB7XBIHCQ4S774BQ6WSLQ \
  | 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: 1df842943fb850714392fff8187ad25c3d53d639c4d3c7657dddfa23b6e675f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7343ddefd6b9038db1f8a200bdcf4a07447877aea5b0b5cbb98f3edd46e7057b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-05-21T04:06:26Z",
    "title_canon_sha256": "bdadf4348c1d2c4f3103b31093b89fd69ad65ddc17e2ab38925625b7c28dcd96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.12485",
    "kind": "arxiv",
    "version": 1
  }
}