Pith Number

pith:ITJOZ2WN

pith:2013:ITJOZ2WNN354M25F6N2FLDZPBR

not attested not anchored not stored refs pending

Group actions on metric spaces: fixed points and free subgroups

Matthias Hamann

arxiv:1301.6513 v1 · 2013-01-28 · math.MG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITJOZ2WNN354M25F6N2FLDZPBR}

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.

Cited by

1 paper in Pith

Connections between the topology of the Morse boundary, the Morse local-to-global property and acylindrical hyperbolicity

Receipt and verification

First computed	2026-05-18T03:35:15.148651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44d2eceacd6efbc66ba5f374558f2f0c5eb5bbaebf9869152786beeaefa1dc2e

Aliases

arxiv: 1301.6513 · arxiv_version: 1301.6513v1 · doi: 10.48550/arxiv.1301.6513 · pith_short_12: ITJOZ2WNN354 · pith_short_16: ITJOZ2WNN354M25F · pith_short_8: ITJOZ2WN

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/ITJOZ2WNN354M25F6N2FLDZPBR \
  | 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: 44d2eceacd6efbc66ba5f374558f2f0c5eb5bbaebf9869152786beeaefa1dc2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf97ee7058fd7b5fc342ed394421af2b98ec8f768bafbdfdf3f5f1ffc0e8df17",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-01-28T11:03:38Z",
    "title_canon_sha256": "3b41b8487dbfd56a808be379ac5849fef7845076ffb0658f19bb517936afe944"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6513",
    "kind": "arxiv",
    "version": 1
  }
}