Pith Number

pith:L525KALJ

pith:2016:L525KALJOCQNOGJIVFFMCCBQPK

not attested not anchored not stored refs pending

Hessenberg varieties and hyperplane arrangements

Mikiya Masuda, Satoshi Murai, Takashi Sato, Takuro Abe, Tatsuya Horiguchi

arxiv:1611.00269 v2 · 2016-11-01 · math.AG · math.AT · math.CO · math.RT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L525KALJOCQNOGJIVFFMCCBQPK}

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	2026-05-18T00:55:57.444950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f75d5016970a0d71928a94ac108307a81516a3f1e08f5fe382755207a533f6a

Aliases

arxiv: 1611.00269 · arxiv_version: 1611.00269v2 · doi: 10.48550/arxiv.1611.00269 · pith_short_12: L525KALJOCQN · pith_short_16: L525KALJOCQNOGJI · pith_short_8: L525KALJ

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/L525KALJOCQNOGJIVFFMCCBQPK \
  | 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: 5f75d5016970a0d71928a94ac108307a81516a3f1e08f5fe382755207a533f6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ee1749c2df4fc7f0893baeca78196503b4306a1157d67db064d3fb02c8a5bc5",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO",
      "math.RT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-11-01T15:22:00Z",
    "title_canon_sha256": "27ff8343cfaf38a737f6ddf24ed1dbfe42d9ef61f4c35fbd2d9380f33b062293"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00269",
    "kind": "arxiv",
    "version": 2
  }
}