Pith Number

pith:D72WNEJI

pith:2010:D72WNEJIVCSNXGK7J3BB64N45P

not attested not anchored not stored refs pending

Levi problem and semistable quotients

Stefan Nemirovski

arxiv:1006.4245 v2 · 2010-06-22 · math.CV · 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{D72WNEJIVCSNXGK7J3BB64N45P}

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	2026-05-18T02:25:32.957229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ff5669128a8a4db995f4ec21f71bcebdfbf3824a4dc618de158a3b9952c45d3

Aliases

arxiv: 1006.4245 · arxiv_version: 1006.4245v2 · doi: 10.48550/arxiv.1006.4245 · pith_short_12: D72WNEJIVCSN · pith_short_16: D72WNEJIVCSNXGK7 · pith_short_8: D72WNEJI

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/D72WNEJIVCSNXGK7J3BB64N45P \
  | 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: 1ff5669128a8a4db995f4ec21f71bcebdfbf3824a4dc618de158a3b9952c45d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2c2501e9150a581b8ef6049fe9877ebd01d626f5de504b0d56d4d7fe82cafa5",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-06-22T09:46:05Z",
    "title_canon_sha256": "1e3a7931b9e9ea75eedc6127031b5d58a0b7a4859479952d3d52613da3434601"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4245",
    "kind": "arxiv",
    "version": 2
  }
}