Pith Number

pith:LAR726PX

pith:2025:LAR726PXNWZPHAKCLB3GUHFYN3

not attested not anchored not stored refs pending

Cubulation of Bruhat graphs

Alex Bishop, Anne Thomas, Elizabeth Mili\'cevi\'c

arxiv:2504.03046 v2 · 2025-04-03 · math.RT · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LAR726PXNWZPHAKCLB3GUHFYN3}

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	2026-05-18T03:09:45.756041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5823fd79f76db2f3814258766a1cb86ecdb5bd49d9ddc32cba9b59dfceaa1939

Aliases

arxiv: 2504.03046 · arxiv_version: 2504.03046v2 · doi: 10.48550/arxiv.2504.03046 · pith_short_12: LAR726PXNWZP · pith_short_16: LAR726PXNWZPHAKC · pith_short_8: LAR726PX

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/LAR726PXNWZPHAKCLB3GUHFYN3 \
  | 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: 5823fd79f76db2f3814258766a1cb86ecdb5bd49d9ddc32cba9b59dfceaa1939

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b60cd81e2b44d14e5d9f89e4127a696fa948b063e2bb95c26a32af66bdf6f10",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-04-03T21:51:30Z",
    "title_canon_sha256": "9ab7b916f1125d5d7edffee76c60ce18dca38dc413286cb19babbc0ad21011e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.03046",
    "kind": "arxiv",
    "version": 2
  }
}