Pith Number

pith:7WYQE4W5

pith:2011:7WYQE4W5YKFFOHIBIESJJEB2O6

not attested not anchored not stored refs pending

Bounded cohomology and negatively curved manifolds

Inkang Kim, Sungwoon Kim

arxiv:1111.6412 v1 · 2011-11-28 · 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{7WYQE4W5YKFFOHIBIESJJEB2O6}

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	2026-05-18T04:07:30.128238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdb10272ddc28a571d01412494903a7790700bcc051047baeb3225aae5769f32

Aliases

arxiv: 1111.6412 · arxiv_version: 1111.6412v1 · doi: 10.48550/arxiv.1111.6412 · pith_short_12: 7WYQE4W5YKFF · pith_short_16: 7WYQE4W5YKFFOHIB · pith_short_8: 7WYQE4W5

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/7WYQE4W5YKFFOHIBIESJJEB2O6 \
  | 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: fdb10272ddc28a571d01412494903a7790700bcc051047baeb3225aae5769f32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1159a242894a070bdd3b99878bc7f1bb72b9a8faa2263d281406c36834cbc82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-11-28T11:24:23Z",
    "title_canon_sha256": "b8fd606b9c1802aa2d2126019bd4562af3e3781ec90a286e2c94417376cb729c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6412",
    "kind": "arxiv",
    "version": 1
  }
}