Pith Number

pith:6OLIQ2LN

pith:2015:6OLIQ2LNJHKRAKCZPKJBGX3EBI

not attested not anchored not stored refs pending

On the isotypic decomposition of cohomology modules of symmetric semi-algebraic sets: polynomial bounds on multiplicities

Cordian Riener, Saugata Basu

arxiv:1503.00138 v3 · 2015-02-28 · math.AG · cs.CC · math.AT · 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{6OLIQ2LNJHKRAKCZPKJBGX3EBI}

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	2026-05-18T00:45:26.341235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f39688696d49d51028597a92135f640a3804b7f79f7b00e42f1ca2f3f292c462

Aliases

arxiv: 1503.00138 · arxiv_version: 1503.00138v3 · doi: 10.48550/arxiv.1503.00138 · pith_short_12: 6OLIQ2LNJHKR · pith_short_16: 6OLIQ2LNJHKRAKCZ · pith_short_8: 6OLIQ2LN

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/6OLIQ2LNJHKRAKCZPKJBGX3EBI \
  | 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: f39688696d49d51028597a92135f640a3804b7f79f7b00e42f1ca2f3f292c462

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47fa5820075bf8767da0687af76307e0008f72eecd0262164c7c2ccd3cd4c198",
    "cross_cats_sorted": [
      "cs.CC",
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-02-28T15:10:02Z",
    "title_canon_sha256": "2822363b1c3395a91eda69330645d3a77e941194cfaa168e809b05ce55d4d9f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00138",
    "kind": "arxiv",
    "version": 3
  }
}