Pith Number

pith:7EKD4XFM

pith:2013:7EKD4XFMTRX6T5CMDBSR7FCJUS

not attested not anchored not stored refs pending

Free subgroups acting properly discontinuously

Zoran Sunic

arxiv:1304.1274 v2 · 2013-04-04 · 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{7EKD4XFMTRX6T5CMDBSR7FCJUS}

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	2026-05-18T03:27:00.808304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9143e5cac9c6fe9f44c18651f9449a4a9dc5ba96221a75920bd725daf8cd2f7

Aliases

arxiv: 1304.1274 · arxiv_version: 1304.1274v2 · doi: 10.48550/arxiv.1304.1274 · pith_short_12: 7EKD4XFMTRX6 · pith_short_16: 7EKD4XFMTRX6T5CM · pith_short_8: 7EKD4XFM

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/7EKD4XFMTRX6T5CMDBSR7FCJUS \
  | 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: f9143e5cac9c6fe9f44c18651f9449a4a9dc5ba96221a75920bd725daf8cd2f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd926a7027a4f5a1516ffba34b61f7838cbf11269310063712ca513b3acc1f77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-04-04T08:53:25Z",
    "title_canon_sha256": "f2bbdf061ef21624e6b182b605a1c09c6215c44349a610263fa1f29b910acd8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1274",
    "kind": "arxiv",
    "version": 2
  }
}