Pith Number

pith:TYDKTU6Y

pith:2013:TYDKTU6YMYIQ5DMP47GF6QTIKJ

not attested not anchored not stored refs pending

Bounded cohomology with coefficients in uniformly convex Banach spaces

Ken Bromberg, Koji Fujiwara, Mladen Bestvina

arxiv:1306.1542 v2 · 2013-06-06 · 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{TYDKTU6YMYIQ5DMP47GF6QTIKJ}

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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.

Cited by

1 paper in Pith

Connections between the topology of the Morse boundary, the Morse local-to-global property and acylindrical hyperbolicity

Receipt and verification

First computed	2026-05-18T02:27:08.258451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e06a9d3d866110e8d8fe7cc5f426852651dc0d3c08eff18c53f0dcd5e936279

Aliases

arxiv: 1306.1542 · arxiv_version: 1306.1542v2 · doi: 10.48550/arxiv.1306.1542 · pith_short_12: TYDKTU6YMYIQ · pith_short_16: TYDKTU6YMYIQ5DMP · pith_short_8: TYDKTU6Y

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/TYDKTU6YMYIQ5DMP47GF6QTIKJ \
  | 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: 9e06a9d3d866110e8d8fe7cc5f426852651dc0d3c08eff18c53f0dcd5e936279

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f61269771b3dd07867796f9b46d71e421e1d7aabf8289a80d0f7a34e4d0e250",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-06-06T20:19:10Z",
    "title_canon_sha256": "4ee44f1ba2bb6f762910c3748dfb1df90256e07402feea2b025c3cc092cc6cd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1542",
    "kind": "arxiv",
    "version": 2
  }
}