Pith Number

pith:F6NUOULO

pith:2017:F6NUOULOFCMTKKH6RYAQJCA5QO

not attested not anchored not stored refs pending

A sufficiently complicated noded Schottky group of rank three

Ruben A. Hidalgo

arxiv:1712.05769 v2 · 2017-12-15 · 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{F6NUOULOFCMTKKH6RYAQJCA5QO}

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	2026-05-18T00:26:19.081971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f9b47516e28993528fe8e0104881d83ae7142a689c4c30b479d013cc05faffd

Aliases

arxiv: 1712.05769 · arxiv_version: 1712.05769v2 · doi: 10.48550/arxiv.1712.05769 · pith_short_12: F6NUOULOFCMT · pith_short_16: F6NUOULOFCMTKKH6 · pith_short_8: F6NUOULO

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/F6NUOULOFCMTKKH6RYAQJCA5QO \
  | 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: 2f9b47516e28993528fe8e0104881d83ae7142a689c4c30b479d013cc05faffd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74f0eb869f09604c7e1eecbfe39c09ba9a76ea5eb95fe53d69a859e0c2b1c28c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-12-15T17:56:56Z",
    "title_canon_sha256": "72c02f2cbad62e3ce639e8a7c018e08d755f31421e9b6b6b218b0e553aae0985"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05769",
    "kind": "arxiv",
    "version": 2
  }
}