Pith Number

pith:UY3FEZM3

pith:2015:UY3FEZM3USHJ4YVBAJT2ZYJNA6

not attested not anchored not stored refs pending

On the traceless SU(2) character variety of the 6-punctured 2-sphere

Paul Kirk

arxiv:1512.09345 v1 · 2015-12-31 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UY3FEZM3USHJ4YVBAJT2ZYJNA6}

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	2026-05-18T01:23:32.590157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a63652659ba48e9e62a10267ace12d0794d74fd9958058aea5f03decca5c2111

Aliases

arxiv: 1512.09345 · arxiv_version: 1512.09345v1 · doi: 10.48550/arxiv.1512.09345 · pith_short_12: UY3FEZM3USHJ · pith_short_16: UY3FEZM3USHJ4YVB · pith_short_8: UY3FEZM3

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/UY3FEZM3USHJ4YVBAJT2ZYJNA6 \
  | 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: a63652659ba48e9e62a10267ace12d0794d74fd9958058aea5f03decca5c2111

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "050289ee6d54dc5a15f5499ca41c69ca3f0419f0e7eb11eaeb1c466afb437f77",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-31T19:13:17Z",
    "title_canon_sha256": "72ace6fba5b6aa49772f187bf20540aecb02174240ccf9de64b34c71fca57c49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09345",
    "kind": "arxiv",
    "version": 1
  }
}