Pith Number

pith:267S6BUY

pith:2023:267S6BUY4F767LJIUIWEWXQZ66

not attested not anchored not stored refs pending

Combination theorems for geometrically finite convergence groups

Alec Traaseth, Theodore Weisman

arxiv:2305.08011 v1 · 2023-05-13 · 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{267S6BUY4F767LJIUIWEWXQZ66}

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	2026-07-01T14:23:05.098841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7bf2f0698e17fefad28a22c4b5e19f7a2134ca018ae63f97334885dd6d44ce8

Aliases

arxiv: 2305.08011 · arxiv_version: 2305.08011v1 · doi: 10.48550/arxiv.2305.08011 · pith_short_12: 267S6BUY4F76 · pith_short_16: 267S6BUY4F767LJI · pith_short_8: 267S6BUY

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/267S6BUY4F767LJIUIWEWXQZ66 \
  | 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: d7bf2f0698e17fefad28a22c4b5e19f7a2134ca018ae63f97334885dd6d44ce8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad3e35a898f2a28b688f0df09e55cde169b486e3ea53962eb0ca07072176d7d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2023-05-13T21:34:30Z",
    "title_canon_sha256": "1aeb2a82d20002d7d90e46fe34fc17209959a5cd9d42726e8d38ec3fff5f954d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.08011",
    "kind": "arxiv",
    "version": 1
  }
}