Pith Number

pith:P6B3FGTI

pith:2026:P6B3FGTIATVMBV3CECBTTXSVOW

not attested not anchored not stored refs pending

Branched Covers of Hyperbolic Groups

Darius Alizadeh

arxiv:2606.18086 v1 · 2026-06-16 · 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{P6B3FGTIATVMBV3CECBTTXSVOW}

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	2026-06-19T16:10:48.165660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f83b29a6804eac0d762208339de5575bbdf092f975b885bfce6b7f8870636ed

Aliases

arxiv: 2606.18086 · arxiv_version: 2606.18086v1 · doi: 10.48550/arxiv.2606.18086 · pith_short_12: P6B3FGTIATVM · pith_short_16: P6B3FGTIATVMBV3C · pith_short_8: P6B3FGTI

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/P6B3FGTIATVMBV3CECBTTXSVOW \
  | 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: 7f83b29a6804eac0d762208339de5575bbdf092f975b885bfce6b7f8870636ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed0d6ac066f15f7a52fc8631faa2317579e4171900b5c4bff6c0f91e7b6e9af4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-16T15:50:13Z",
    "title_canon_sha256": "46d72e219819a086c141e982eef0c6492fc66c0fa25088c9d540dcd3071f05e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18086",
    "kind": "arxiv",
    "version": 1
  }
}