Pith Number

pith:EFJBNYGR

pith:2011:EFJBNYGRYPAPFTEMHXCAZYCLCN

not attested not anchored not stored refs pending

Two infinite versions of nonlinear Dvoretzky's theorem

Kei Funano

arxiv:1111.1627 v2 · 2011-11-07 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EFJBNYGRYPAPFTEMHXCAZYCLCN}

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	2026-05-18T03:56:10.567925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

215216e0d1c3c0f2cc8c3dc40ce04b13777a71593106494421ba717758538bc4

Aliases

arxiv: 1111.1627 · arxiv_version: 1111.1627v2 · doi: 10.48550/arxiv.1111.1627 · pith_short_12: EFJBNYGRYPAP · pith_short_16: EFJBNYGRYPAPFTEM · pith_short_8: EFJBNYGR

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/EFJBNYGRYPAPFTEMHXCAZYCLCN \
  | 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: 215216e0d1c3c0f2cc8c3dc40ce04b13777a71593106494421ba717758538bc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92a3bd6937d47fbfe2e342e5825f117d55413cabe0b51055a4a3a92948a2bc07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-11-07T16:09:50Z",
    "title_canon_sha256": "8b0e3bfc5b98d8c3a7bde34fb3139b6ea6c95acc77e44a1ab77df7984ec7bc3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1627",
    "kind": "arxiv",
    "version": 2
  }
}