Pith Number

pith:6OXHMCUM

pith:2015:6OXHMCUM6JKQCEUYUSKQO2UU4Q

not attested not anchored not stored refs pending

Canonical Hexagons and the PSL(2,C) Discreteness Problem

Jane Gilman, Linda Keen

arxiv:1508.00257 v3 · 2015-08-02 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6OXHMCUM6JKQCEUYUSKQO2UU4Q}

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	2026-05-18T01:01:42.320885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3ae760a8cf255011298a495076a94e421df25dcf2450fd2b77236094ea540c1

Aliases

arxiv: 1508.00257 · arxiv_version: 1508.00257v3 · doi: 10.48550/arxiv.1508.00257 · pith_short_12: 6OXHMCUM6JKQ · pith_short_16: 6OXHMCUM6JKQCEUY · pith_short_8: 6OXHMCUM

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/6OXHMCUM6JKQCEUYUSKQO2UU4Q \
  | 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: f3ae760a8cf255011298a495076a94e421df25dcf2450fd2b77236094ea540c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc42c122c8b6b6389ceb58360fb5c837be4e9a1b350e8ae9f884701554eca716",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-08-02T16:36:51Z",
    "title_canon_sha256": "108b6d4e303342efa5f46e9b5e6f442c6a105bfc94fe745795b9d6ebb158c3f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00257",
    "kind": "arxiv",
    "version": 3
  }
}