Pith Number

pith:Q4ECXVS5

pith:2019:Q4ECXVS5GOTNNEPQMZZVN6ATJ6

not attested not anchored not stored refs pending

Stability in Bounded Cohomology for Classical Groups, I: The Symplectic Case

Carlos De la Cruz Mengual, Tobias Hartnick

arxiv:1902.01383 v1 · 2019-02-04 · math.GR · math.FA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4ECXVS5GOTNNEPQMZZVN6ATJ6}

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	2026-05-17T23:54:49.011151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87082bd65d33a6d691f0667356f8134fbc429058112c5ac6f19640c8743a0c93

Aliases

arxiv: 1902.01383 · arxiv_version: 1902.01383v1 · doi: 10.48550/arxiv.1902.01383 · pith_short_12: Q4ECXVS5GOTN · pith_short_16: Q4ECXVS5GOTNNEPQ · pith_short_8: Q4ECXVS5

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/Q4ECXVS5GOTNNEPQMZZVN6ATJ6 \
  | 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: 87082bd65d33a6d691f0667356f8134fbc429058112c5ac6f19640c8743a0c93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a1356101794c616885e60e8740a8c0280b9e34e5e053e8bceb49fc1fcaa2f58",
    "cross_cats_sorted": [
      "math.FA",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-02-04T18:52:36Z",
    "title_canon_sha256": "df4c6dcf909ff8ae8a0abf6c2de498ea777593362cc9c47317d2946a0f2ffe71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.01383",
    "kind": "arxiv",
    "version": 1
  }
}