Pith Number

pith:G2VFZSBO

pith:2016:G2VFZSBOGT4EFXWNGDMHDRVIIY

not attested not anchored not stored refs pending

Full box spaces of free groups

Thiebout Delabie

arxiv:1606.09097 v1 · 2016-06-29 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G2VFZSBOGT4EFXWNGDMHDRVIIY}

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	2026-05-18T01:11:41.734150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36aa5cc82e34f842decd30d871c6a84611e4ed71c82b68a72c34283bb4798830

Aliases

arxiv: 1606.09097 · arxiv_version: 1606.09097v1 · doi: 10.48550/arxiv.1606.09097 · pith_short_12: G2VFZSBOGT4E · pith_short_16: G2VFZSBOGT4EFXWN · pith_short_8: G2VFZSBO

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/G2VFZSBOGT4EFXWNGDMHDRVIIY \
  | 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: 36aa5cc82e34f842decd30d871c6a84611e4ed71c82b68a72c34283bb4798830

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03b79b32f2e65b81551558496ce7a4d6bf07dabc968f913ff6df2d290d631cc2",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-06-29T13:45:21Z",
    "title_canon_sha256": "86100ca64ef2b812e1b5d4707c0e27c4a68b1c6c8e3fadcdaf9339591a15188a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.09097",
    "kind": "arxiv",
    "version": 1
  }
}