Pith Number

pith:FMBA2H3C

pith:2015:FMBA2H3CJ23KPTSOV6Q2UPP7J2

not attested not anchored not stored refs pending

Groups with infinitely many ends acting analytically on the circle

Andr\'es Navas, Carlos Meni\~no Cot\'on, Dmitry Filimonov, Dominique Malicet, Michele Triestino, S\'ebastien Alvarez, Victor Kleptsyn

arxiv:1506.03839 v5 · 2015-06-11 · math.DS · 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{FMBA2H3CJ23KPTSOV6Q2UPP7J2}

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	2026-05-17T23:41:47.394336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b020d1f624eb6a7ce4eafa1aa3dff4e873ba5be7fae752c9042ac0f14d90e34

Aliases

arxiv: 1506.03839 · arxiv_version: 1506.03839v5 · doi: 10.48550/arxiv.1506.03839 · pith_short_12: FMBA2H3CJ23K · pith_short_16: FMBA2H3CJ23KPTSO · pith_short_8: FMBA2H3C

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/FMBA2H3CJ23KPTSOV6Q2UPP7J2 \
  | 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: 2b020d1f624eb6a7ce4eafa1aa3dff4e873ba5be7fae752c9042ac0f14d90e34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac5a8892cb7a8e176579c0b400e03d0e35f8d744f76b445f42e67bc833f29dc1",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-06-11T21:08:41Z",
    "title_canon_sha256": "1a82055d9f07b6aa64801bcaaf4765ddba2d3cf86a04ff0ef4a5715179bde23a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03839",
    "kind": "arxiv",
    "version": 5
  }
}