Pith Number

pith:K4SE5LHU

pith:2014:K4SE5LHUYBHNWKYKJ4LZ2FTRZ7

not attested not anchored not stored refs pending

A restricted Magnus property for profinite surface groups

Marco Boggi, Pavel Zalesskii

arxiv:1408.5419 v2 · 2014-08-22 · 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{K4SE5LHUYBHNWKYKJ4LZ2FTRZ7}

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	2026-05-18T00:41:23.577233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57244eacf4c04edb2b0a4f179d1671cfe287aa6738a54f4acfda9c36635ea7f4

Aliases

arxiv: 1408.5419 · arxiv_version: 1408.5419v2 · doi: 10.48550/arxiv.1408.5419 · pith_short_12: K4SE5LHUYBHN · pith_short_16: K4SE5LHUYBHNWKYK · pith_short_8: K4SE5LHU

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/K4SE5LHUYBHNWKYKJ4LZ2FTRZ7 \
  | 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: 57244eacf4c04edb2b0a4f179d1671cfe287aa6738a54f4acfda9c36635ea7f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ebf2710d3d6acd16734b88c5011beee8c26a68607d0c64d9c4b0c194e2577df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-08-22T20:38:06Z",
    "title_canon_sha256": "bacfb9004451fe9007eef0a106baf99c19196c2e4ac821eb0bd6b8c8e144cb31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5419",
    "kind": "arxiv",
    "version": 2
  }
}