Pith Number

pith:K7AADMY5

pith:2012:K7AADMY5NV7WWZ4EFU42BR4NJZ

not attested not anchored not stored refs pending

On the space of left-orderings of virtually solvable groups

Crist\'obal Rivas, Romain Tessera

arxiv:1209.3251 v3 · 2012-09-14 · math.GR · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K7AADMY5NV7WWZ4EFU42BR4NJZ}

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	2026-05-18T03:30:12.325589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57c001b31d6d7f6b67842d39a0c78d4e4eb81323eda35664af0567bb5e4ccc35

Aliases

arxiv: 1209.3251 · arxiv_version: 1209.3251v3 · doi: 10.48550/arxiv.1209.3251 · pith_short_12: K7AADMY5NV7W · pith_short_16: K7AADMY5NV7WWZ4E · pith_short_8: K7AADMY5

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/K7AADMY5NV7WWZ4EFU42BR4NJZ \
  | 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: 57c001b31d6d7f6b67842d39a0c78d4e4eb81323eda35664af0567bb5e4ccc35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b7f8fa04108b21a899049c163efc90dd38e72f24ccc94f5c2470bdd708a64e4",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-09-14T16:27:04Z",
    "title_canon_sha256": "60d05137f426ab22f0909e3616e611518590ff640615cd00ad5b82849027d63e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3251",
    "kind": "arxiv",
    "version": 3
  }
}