Pith Number

pith:2HRSBI25

pith:2011:2HRSBI25PFNVJEBKRPTGXHT4DC

not attested not anchored not stored refs pending

Finite separating sets and quasi-affine quotients

Emilie Dufresne

arxiv:1102.2132 v2 · 2011-02-10 · math.AC · 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{2HRSBI25PFNVJEBKRPTGXHT4DC}

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	2026-05-18T01:21:42.020727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1e320a35d795b54902a8be66b9e7c18877a72997e0587a9c2dd9ccd9e104d2c

Aliases

arxiv: 1102.2132 · arxiv_version: 1102.2132v2 · doi: 10.48550/arxiv.1102.2132 · pith_short_12: 2HRSBI25PFNV · pith_short_16: 2HRSBI25PFNVJEBK · pith_short_8: 2HRSBI25

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/2HRSBI25PFNVJEBKRPTGXHT4DC \
  | 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: d1e320a35d795b54902a8be66b9e7c18877a72997e0587a9c2dd9ccd9e104d2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af91237ac10688a8339c7216ab374f940d669ae646bf904a2795b3dbe5aec4f1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-02-10T14:47:26Z",
    "title_canon_sha256": "1af413fd71e17361cbba10558e087eb08af56f38474d87d4fc5943fb30a6fe3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2132",
    "kind": "arxiv",
    "version": 2
  }
}