Pith Number

pith:GHAXZ4BL

pith:2017:GHAXZ4BLSPGMHFCOSUX3APABC6

not attested not anchored not stored refs pending

Walk algebras, distinguished subexpressions, and point counting in Kac-Moody flag varieties

Daniel Orr, Dinakar Muthiah

arxiv:1707.03366 v2 · 2017-07-11 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHAXZ4BLSPGMHFCOSUX3APABC6}

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	2026-05-18T00:26:45.991299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31c17cf02b93ccc3944e952fb03c0117916b325704187846a21a831f58c32989

Aliases

arxiv: 1707.03366 · arxiv_version: 1707.03366v2 · doi: 10.48550/arxiv.1707.03366 · pith_short_12: GHAXZ4BLSPGM · pith_short_16: GHAXZ4BLSPGMHFCO · pith_short_8: GHAXZ4BL

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/GHAXZ4BLSPGMHFCOSUX3APABC6 \
  | 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: 31c17cf02b93ccc3944e952fb03c0117916b325704187846a21a831f58c32989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e73b2955db37641058cbc16edb22ddc6ec847b8f3d70e2ce5c780892567d5cd9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-07-11T17:08:35Z",
    "title_canon_sha256": "470e0d4c3bd440da7ce0f62dd86ddce479f90df6bc51727961c7a32c79e42743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03366",
    "kind": "arxiv",
    "version": 2
  }
}