Pith Number

pith:MGYIDGLG

pith:2023:MGYIDGLGHUGVDI3OTRWZVBAYBZ

not attested not anchored not stored refs pending

Torsors and tilings from toric toggling

Alex McDonough, Colin Defant, Matthew Macauley, Michael Joseph

arxiv:2305.07627 v1 · 2023-05-12 · math.CO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MGYIDGLGHUGVDI3OTRWZVBAYBZ}

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	2026-07-05T06:09:38.382965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61b08199663d0d51a36e9c6d9a84180e7a09a35412592a6c65bf2ee5076cd5b4

Aliases

arxiv: 2305.07627 · arxiv_version: 2305.07627v1 · doi: 10.48550/arxiv.2305.07627 · pith_short_12: MGYIDGLGHUGV · pith_short_16: MGYIDGLGHUGVDI3O · pith_short_8: MGYIDGLG

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/MGYIDGLGHUGVDI3OTRWZVBAYBZ \
  | 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: 61b08199663d0d51a36e9c6d9a84180e7a09a35412592a6c65bf2ee5076cd5b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "394dfb66076bdcc600a4ff423ce9eb8d0f886231d0273699cd36d32fa6fe8e75",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-05-12T17:27:12Z",
    "title_canon_sha256": "2f279c415d3618af04ce8f30c4996e9e9a2d00252762854d736a2876d40ef774"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.07627",
    "kind": "arxiv",
    "version": 1
  }
}