Pith Number

pith:5FB5ERHP

pith:2016:5FB5ERHPDWV4KQXBLINI7BJWFN

not attested not anchored not stored refs pending

Schottky groups and maximal representations

Jean-Philippe Burelle, Nicolaus Treib

arxiv:1609.04560 v1 · 2016-09-15 · math.DG · 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{5FB5ERHPDWV4KQXBLINI7BJWFN}

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	2026-05-18T00:10:48.086253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e943d244ef1dabc542e15a1a8f85362b67de8149f7a263735f12e0cf6d7392d2

Aliases

arxiv: 1609.04560 · arxiv_version: 1609.04560v1 · doi: 10.48550/arxiv.1609.04560 · pith_short_12: 5FB5ERHPDWV4 · pith_short_16: 5FB5ERHPDWV4KQXB · pith_short_8: 5FB5ERHP

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/5FB5ERHPDWV4KQXBLINI7BJWFN \
  | 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: e943d244ef1dabc542e15a1a8f85362b67de8149f7a263735f12e0cf6d7392d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfc2703f1c9cc778ecf395519b29fbbcc4b5f6ee6e017b6a7b34bf3b6be6c50e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-09-15T10:01:02Z",
    "title_canon_sha256": "f9476b0d3a1f2566a08537f63e0f33a41613586ba18b48d847abdbf8d966cebe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04560",
    "kind": "arxiv",
    "version": 1
  }
}