Pith Number

pith:IC3MO27P

pith:2012:IC3MO27P6VXLJ5EDKX4GWAZBHW

not attested not anchored not stored refs pending

Linear and projective boundaries in HNN-extensions and distortion phenomena

Bernhard Kr\"on, J\"org Lehnert, Maya Stein

arxiv:1210.4137 v4 · 2012-10-15 · 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{IC3MO27P6VXLJ5EDKX4GWAZBHW}

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	2026-05-18T02:44:23.624078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40b6c76beff56eb4f48355f86b03213db69f3f3244185280e0d1a1e3bc42d89f

Aliases

arxiv: 1210.4137 · arxiv_version: 1210.4137v4 · doi: 10.48550/arxiv.1210.4137 · pith_short_12: IC3MO27P6VXL · pith_short_16: IC3MO27P6VXLJ5ED · pith_short_8: IC3MO27P

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/IC3MO27P6VXLJ5EDKX4GWAZBHW \
  | 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: 40b6c76beff56eb4f48355f86b03213db69f3f3244185280e0d1a1e3bc42d89f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c26e76906f37ec0191a137de0fd795ab7a9677b86040d837a552c8d31c758d7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-10-15T18:52:40Z",
    "title_canon_sha256": "c7cd1147b36cc08e0f2ee1c485a98723e7c68e8ffdbb5200c664a47c616ff1f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4137",
    "kind": "arxiv",
    "version": 4
  }
}