Pith Number

pith:YJQ3NZLT

pith:2023:YJQ3NZLTFLTSE6BKSCNLYDPGCG

not attested not anchored not stored refs pending

Alcove Walks and GKM Theory for Affine Flags

Elizabeth Mili\'cevi\'c, Kaisa Taipale

arxiv:2303.12170 v2 · 2023-03-21 · math.CO · math.AG · 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{YJQ3NZLTFLTSE6BKSCNLYDPGCG}

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	2026-07-05T06:50:28.586357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c261b6e5732ae722782a909abc0de6119cc4aa3a377d0238f232fa6b8b4fbab0

Aliases

arxiv: 2303.12170 · arxiv_version: 2303.12170v2 · doi: 10.48550/arxiv.2303.12170 · pith_short_12: YJQ3NZLTFLTS · pith_short_16: YJQ3NZLTFLTSE6BK · pith_short_8: YJQ3NZLT

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/YJQ3NZLTFLTSE6BKSCNLYDPGCG \
  | 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: c261b6e5732ae722782a909abc0de6119cc4aa3a377d0238f232fa6b8b4fbab0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79a1e7087f7f05e3232c850b52445d17661c3172ad681fcaf683b23386b7c579",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-03-21T19:54:57Z",
    "title_canon_sha256": "ebbe46ec5e505ed4d706504a0c5f8c7fa9f72e321dbaa984e30e7d4e988288a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.12170",
    "kind": "arxiv",
    "version": 2
  }
}