Pith Number

pith:YAGETJ4Y

pith:2016:YAGETJ4YQ5P33DJEL6AS6N4RVT

not attested not anchored not stored refs pending

The bounded cohomology of SL_2 over local fields and S-integers

Michelle Bucher, Nicolas Monod

arxiv:1609.05013 v1 · 2016-09-16 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YAGETJ4YQ5P33DJEL6AS6N4RVT}

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	2026-05-18T01:04:31.818338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c00c49a798875fbd8d245f812f3791acd2eee396954abd3b56f256510cff8f83

Aliases

arxiv: 1609.05013 · arxiv_version: 1609.05013v1 · doi: 10.48550/arxiv.1609.05013 · pith_short_12: YAGETJ4YQ5P3 · pith_short_16: YAGETJ4YQ5P33DJE · pith_short_8: YAGETJ4Y

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/YAGETJ4YQ5P33DJEL6AS6N4RVT \
  | 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: c00c49a798875fbd8d245f812f3791acd2eee396954abd3b56f256510cff8f83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50b1b4f7442b55bc1670608816f3d49fe1325516411cddd5a2bd78f641789ed4",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-09-16T11:48:40Z",
    "title_canon_sha256": "d920fbbf06f8daaea8ff8dd6ff165dc2f8714eeafe86d33c37f2a6964fd1a176"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05013",
    "kind": "arxiv",
    "version": 1
  }
}