Pith Number

pith:NATAMD2J

pith:2012:NATAMD2J3ZEAZD3KNK5I5EMDTE

not attested not anchored not stored refs pending

Degenerate flag varieties: moment graphs and Schr\"oder numbers

Evgeny Feigin, Giovanni Cerulli Irelli, Markus Reineke

arxiv:1206.4178 v1 · 2012-06-19 · 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{NATAMD2J3ZEAZD3KNK5I5EMDTE}

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	2026-05-18T03:40:49.344141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6826060f49de480c8f6a6aba8e918399249e321d25ad28d5ab79ea0505f1068a

Aliases

arxiv: 1206.4178 · arxiv_version: 1206.4178v1 · doi: 10.48550/arxiv.1206.4178 · pith_short_12: NATAMD2J3ZEA · pith_short_16: NATAMD2J3ZEAZD3K · pith_short_8: NATAMD2J

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/NATAMD2J3ZEAZD3KNK5I5EMDTE \
  | 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: 6826060f49de480c8f6a6aba8e918399249e321d25ad28d5ab79ea0505f1068a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb2a1c20f029f8d66ed53294bf935ee60418e92ccd6749999cec9960e48ccdc3",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-19T11:26:58Z",
    "title_canon_sha256": "069495874333cdcd2570889329a51be07a5265d648b26b1cae4213512b554b98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4178",
    "kind": "arxiv",
    "version": 1
  }
}