Pith Number

pith:S42XUFG4

pith:2025:S42XUFG4GQY75BY7P64I67C5XY

not attested not anchored not stored refs pending

Decompositions of augmentation varieties via weaves and rulings

Angela Wu, Caitlin Leverson, James Hughes, Johan Asplund, Orsola Capovilla-Searle, Wenyuan Li

arxiv:2508.20226 v1 · 2025-08-27 · math.SG · math.AG · math.CO · 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{S42XUFG4GQY75BY7P64I67C5XY}

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

Categorical Lusztig cycles and weave schobers

Receipt and verification

First computed	2026-07-05T12:00:32.229329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97357a14dc3431fe871f7fb88f7c5dbe1cd54e07695d4372aa72f546779ad698

Aliases

arxiv: 2508.20226 · arxiv_version: 2508.20226v1 · doi: 10.48550/arxiv.2508.20226 · pith_short_12: S42XUFG4GQY7 · pith_short_16: S42XUFG4GQY75BY7 · pith_short_8: S42XUFG4

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/S42XUFG4GQY75BY7P64I67C5XY \
  | 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: 97357a14dc3431fe871f7fb88f7c5dbe1cd54e07695d4372aa72f546779ad698

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49b057f65773387fa04645c7632a92b4735a271228c4ecf0923bbf2bfd50cddd",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-08-27T19:05:47Z",
    "title_canon_sha256": "7bcbe53cda096b355d16f4a445728b48ab386f5dfe3e2b5e1e548c06d3020432"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20226",
    "kind": "arxiv",
    "version": 1
  }
}