Pith Number

pith:HYHCTYJ4

pith:2014:HYHCTYJ4EUYBX5F2XJIJIIKWNN

not attested not anchored not stored refs pending

Homotopy Groups of Free Group Character Varieties

Carlos Florentino, Daniel Ramras, Sean Lawton

arxiv:1412.0272 v4 · 2014-11-30 · math.AT · math.AG · 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{HYHCTYJ4EUYBX5F2XJIJIIKWNN}

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	2026-05-18T00:16:39.299147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e0e29e13c25301bf4baba509421566b5a051c9506b6c468bdc7e9bca3e87394

Aliases

arxiv: 1412.0272 · arxiv_version: 1412.0272v4 · doi: 10.48550/arxiv.1412.0272 · pith_short_12: HYHCTYJ4EUYB · pith_short_16: HYHCTYJ4EUYBX5F2 · pith_short_8: HYHCTYJ4

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/HYHCTYJ4EUYBX5F2XJIJIIKWNN \
  | 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: 3e0e29e13c25301bf4baba509421566b5a051c9506b6c468bdc7e9bca3e87394

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb5713b6177ba77528b0a31016e09ab5e25dc31a72c650e7c9d668c66b2257af",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-11-30T19:58:18Z",
    "title_canon_sha256": "6678c7c39d9e7aabe2baf98aa65a39ecca1cf1dd37626c1e79348d1a58dd9a09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0272",
    "kind": "arxiv",
    "version": 4
  }
}