Pith Number

pith:CYPICS6D

pith:2012:CYPICS6DA7VVT5DW33U5KUVXO3

not attested not anchored not stored refs pending

The Topology of Parabolic Character Varieties of Free Groups

Carlos Florentino, Indranil Biswas, Marina Logares, Sean Lawton

arxiv:1204.5924 v2 · 2012-04-26 · math.AG · math.GT · 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{CYPICS6DA7VVT5DW33U5KUVXO3}

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	2026-05-18T03:01:11.279576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

161e814bc307eb59f476dee9d552b776e0e4f32f518d45353fcb7a266d87ca41

Aliases

arxiv: 1204.5924 · arxiv_version: 1204.5924v2 · doi: 10.48550/arxiv.1204.5924 · pith_short_12: CYPICS6DA7VV · pith_short_16: CYPICS6DA7VVT5DW · pith_short_8: CYPICS6D

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/CYPICS6DA7VVT5DW33U5KUVXO3 \
  | 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: 161e814bc307eb59f476dee9d552b776e0e4f32f518d45353fcb7a266d87ca41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72a585624bf4c01a3519d382377efe06ec0008b5b957c2b4f98c785d0623076f",
    "cross_cats_sorted": [
      "math.GT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-04-26T13:52:35Z",
    "title_canon_sha256": "26d7b21121ab2607e28b1248d4e5adee3b381754eec8712268b0d75ea606b732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5924",
    "kind": "arxiv",
    "version": 2
  }
}