Pith Number

pith:E6WKW7OG

pith:2013:E6WKW7OG473PYSPFIK4MVQ2RCA

not attested not anchored not stored refs pending

Partial periodic quotient of groups acting on a hyperbolic space

R\'emi Coulon

arxiv:1311.0855 v1 · 2013-11-04 · 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{E6WKW7OG473PYSPFIK4MVQ2RCA}

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	2026-05-18T00:07:28.776860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27acab7dc6e7f6fc49e542b8cac351102308005523e5951ed911f59099dfc846

Aliases

arxiv: 1311.0855 · arxiv_version: 1311.0855v1 · doi: 10.48550/arxiv.1311.0855 · pith_short_12: E6WKW7OG473P · pith_short_16: E6WKW7OG473PYSPF · pith_short_8: E6WKW7OG

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/E6WKW7OG473PYSPFIK4MVQ2RCA \
  | 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: 27acab7dc6e7f6fc49e542b8cac351102308005523e5951ed911f59099dfc846

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cb0f79687008507c059d0e62186c4fabeef7b12096bbb24f2d59fd06d9ae7eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-11-04T20:57:55Z",
    "title_canon_sha256": "beb9fbf4aa0df065cf81758ab86db3da07cab9f40ea0c0d31ef9fadd2fe00272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0855",
    "kind": "arxiv",
    "version": 1
  }
}