Pith Number

pith:GEL2IGFX

pith:2011:GEL2IGFXJNJ6Y74FF7MJTVHE5E

not attested not anchored not stored refs pending

Poincar\'e inequalities and rigidity for actions on Banach spaces

Piotr W. Nowak

arxiv:1107.1896 v3 · 2011-07-10 · math.GR · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GEL2IGFXJNJ6Y74FF7MJTVHE5E}

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	2026-05-18T02:55:18.835716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3117a418b74b53ec7f852fd899d4e4e91d646a2398e7eedda5aba1a7ee53a9e1

Aliases

arxiv: 1107.1896 · arxiv_version: 1107.1896v3 · doi: 10.48550/arxiv.1107.1896 · pith_short_12: GEL2IGFXJNJ6 · pith_short_16: GEL2IGFXJNJ6Y74F · pith_short_8: GEL2IGFX

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/GEL2IGFXJNJ6Y74FF7MJTVHE5E \
  | 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: 3117a418b74b53ec7f852fd899d4e4e91d646a2398e7eedda5aba1a7ee53a9e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff6920bd738374954292b2ab72514bfee5678d83455b9c69f97b522bd581819f",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-07-10T20:38:15Z",
    "title_canon_sha256": "5d8479a1265706f6b9c32e9d97075e3da31bdd5a3375e360d6b4459fa5acff3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1896",
    "kind": "arxiv",
    "version": 3
  }
}