Pith Number

pith:OXGZJUS3

pith:2014:OXGZJUS3Q6HCTMNGLIVXIAHJVE

not attested not anchored not stored refs pending

Geometric characterizations of virtually free groups

Pedro V. Silva, V\'itor Ara\'ujo

arxiv:1405.5400 v1 · 2014-05-21 · 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{OXGZJUS3Q6HCTMNGLIVXIAHJVE}

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	2026-05-18T00:29:06.072696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75cd94d25b878e29b1a65a2b7400e9a920db566af534c4bc38fe8afeb4e2541c

Aliases

arxiv: 1405.5400 · arxiv_version: 1405.5400v1 · doi: 10.48550/arxiv.1405.5400 · pith_short_12: OXGZJUS3Q6HC · pith_short_16: OXGZJUS3Q6HCTMNG · pith_short_8: OXGZJUS3

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/OXGZJUS3Q6HCTMNGLIVXIAHJVE \
  | 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: 75cd94d25b878e29b1a65a2b7400e9a920db566af534c4bc38fe8afeb4e2541c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29103bad408ac96a3ec1ecfb6677a4d6326b63f4e93bc7d6d38d8303ca336bcb",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-05-21T12:51:01Z",
    "title_canon_sha256": "a2a0d652f04dba5caa83301e1dfd074c08b851b296dc25f328ffe211b89d3076"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5400",
    "kind": "arxiv",
    "version": 1
  }
}