Pith Number

pith:IQX5BEEJ

pith:2016:IQX5BEEJ5NTOEL3EKBXGZIZAUC

not attested not anchored not stored refs pending

On the equivariant Betti numbers of symmetric definable sets: vanishing, bounds and algorithms

Cordian Riener, Saugata Basu

arxiv:1610.04946 v5 · 2016-10-17 · math.AT · cs.CC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IQX5BEEJ5NTOEL3EKBXGZIZAUC}

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	2026-05-18T00:23:23.447600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

442fd09089eb66e22f64506e6ca320a0a7145758c801f34cf755683daade268a

Aliases

arxiv: 1610.04946 · arxiv_version: 1610.04946v5 · doi: 10.48550/arxiv.1610.04946 · pith_short_12: IQX5BEEJ5NTO · pith_short_16: IQX5BEEJ5NTOEL3E · pith_short_8: IQX5BEEJ

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/IQX5BEEJ5NTOEL3EKBXGZIZAUC \
  | 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: 442fd09089eb66e22f64506e6ca320a0a7145758c801f34cf755683daade268a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37f697059b4f094817686681e965f71e0243c7f39702f5ee9763f5b2aaa26b7c",
    "cross_cats_sorted": [
      "cs.CC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-10-17T01:42:15Z",
    "title_canon_sha256": "f715b6baa26db5f5a35ea0f1b1e3079fc6c37d8ddfbc81322dd487cc2b5131c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04946",
    "kind": "arxiv",
    "version": 5
  }
}