Pith Number

pith:V7PUDGPD

pith:2014:V7PUDGPDKHYZMFV2SQPIO4FWJJ

not attested not anchored not stored refs pending

Modular Embeddings and Rigidity for Fuchsian Groups

Robert A. Kucharczyk

arxiv:1408.3024 v1 · 2014-08-13 · math.NT · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7PUDGPDKHYZMFV2SQPIO4FWJJ}

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	2026-05-18T01:53:09.207082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afdf4199e351f19616ba941e8770b64a6bf420840aa6d9e06aaefec838d1d5d7

Aliases

arxiv: 1408.3024 · arxiv_version: 1408.3024v1 · doi: 10.48550/arxiv.1408.3024 · pith_short_12: V7PUDGPDKHYZ · pith_short_16: V7PUDGPDKHYZMFV2 · pith_short_8: V7PUDGPD

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/V7PUDGPDKHYZMFV2SQPIO4FWJJ \
  | 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: afdf4199e351f19616ba941e8770b64a6bf420840aa6d9e06aaefec838d1d5d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0714549c81d60b5d0bc1ffbf2ed5143cb9a65467b749764d772e7e18c2297725",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-08-13T15:04:09Z",
    "title_canon_sha256": "3c94057ea78a1b7b48fcb78fb9a0d2c8e83dd4d9482fe3452c8fc28a10c7daeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3024",
    "kind": "arxiv",
    "version": 1
  }
}