Pith Number

pith:HMP2ZVAN

pith:2017:HMP2ZVAN32TMZA6ZWS3A2DPV4M

not attested not anchored not stored refs pending

The Martin boundary of relatively hyperbolic groups with virtually abelian parabolic subgroups

(2) LPP), Ilya Gekhtman, Leonid Potyagailo (2) ((1) LMJL, Matthieu Dussaule (1), Victor Gerasimov

arxiv:1711.11307 v2 · 2017-11-30 · math.GR · math.DS · math.GT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HMP2ZVAN32TMZA6ZWS3A2DPV4M}

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	2026-05-18T00:25:03.757838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b1facd40ddea6cc83d9b4b60d0df5e32a444f879a12a4acf97e43f410bfdd8d

Aliases

arxiv: 1711.11307 · arxiv_version: 1711.11307v2 · doi: 10.48550/arxiv.1711.11307 · pith_short_12: HMP2ZVAN32TM · pith_short_16: HMP2ZVAN32TMZA6Z · pith_short_8: HMP2ZVAN

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/HMP2ZVAN32TMZA6ZWS3A2DPV4M \
  | 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: 3b1facd40ddea6cc83d9b4b60d0df5e32a444f879a12a4acf97e43f410bfdd8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6adea84e731aa2137b6cf13b2ca873147c5c02dd1af72254121aef3719ea7776",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-11-30T10:31:03Z",
    "title_canon_sha256": "8da51dd6a578f5e16dde32c00e532c9e605905bcf795b62a409780c2a8645d5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.11307",
    "kind": "arxiv",
    "version": 2
  }
}