Pith Number

pith:SLN56MLW

pith:2016:SLN56MLWKX6XAEC6GVYTJ2B3GE

not attested not anchored not stored refs pending

Intersection properties of stable subgroups and bounded cohomology

Alessandro Sisto, Mahan Mj, Samuel J. Taylor, Yago Antol\'in

arxiv:1612.07227 v2 · 2016-12-21 · math.GT · 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{SLN56MLWKX6XAEC6GVYTJ2B3GE}

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	2026-05-18T00:51:29.950673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92dbdf317655fd70105e357134e83b31391cca94bab45a41a6bbb8d46292c205

Aliases

arxiv: 1612.07227 · arxiv_version: 1612.07227v2 · doi: 10.48550/arxiv.1612.07227 · pith_short_12: SLN56MLWKX6X · pith_short_16: SLN56MLWKX6XAEC6 · pith_short_8: SLN56MLW

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/SLN56MLWKX6XAEC6GVYTJ2B3GE \
  | 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: 92dbdf317655fd70105e357134e83b31391cca94bab45a41a6bbb8d46292c205

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59c8ecf213b6dd424bfbf677f1f0c0ad18f7b81cc125f9c84db68e894847a873",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-12-21T16:48:58Z",
    "title_canon_sha256": "5e199014ef62e5ec6151b893fdb4b632c5995a24a2b450a5bb6b3feb374868d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07227",
    "kind": "arxiv",
    "version": 2
  }
}