Pith Number

pith:KVX3I3V2

pith:2014:KVX3I3V2NSXGHXVYUL7PPT2XGV

not attested not anchored not stored refs pending

Hyperbolic extensions of free groups

Samuel J. Taylor, Spencer Dowdall

arxiv:1406.2567 v2 · 2014-06-10 · math.GT · 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{KVX3I3V2NSXGHXVYUL7PPT2XGV}

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	2026-05-18T00:21:00.858235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

556fb46eba6cae63deb8a2fef7cf573567186b038b4f7827e797909a7ac2dd59

Aliases

arxiv: 1406.2567 · arxiv_version: 1406.2567v2 · doi: 10.48550/arxiv.1406.2567 · pith_short_12: KVX3I3V2NSXG · pith_short_16: KVX3I3V2NSXGHXVY · pith_short_8: KVX3I3V2

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/KVX3I3V2NSXGHXVYUL7PPT2XGV \
  | 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: 556fb46eba6cae63deb8a2fef7cf573567186b038b4f7827e797909a7ac2dd59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb9094559119c18b03d06113ec65a124db3e9bb6e6324f75e6073c94ef919292",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-06-10T14:26:58Z",
    "title_canon_sha256": "1df167a5dd6ad071e9a4254a7962db74a8cfd1f5bb2f3f7c8647f64354c2827b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.2567",
    "kind": "arxiv",
    "version": 2
  }
}