Pith Number

pith:VDMSSKKE

pith:2016:VDMSSKKE22BUR4WFUQDKJXHPB5

not attested not anchored not stored refs pending

Optimal constants in normed planes

Horst Martini, Ralph Teixeira, Vitor Balestro

arxiv:1602.06741 v3 · 2016-02-22 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VDMSSKKE22BUR4WFUQDKJXHPB5}

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	2026-05-18T00:27:04.949064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8d9292944d68348f2c5a406a4dcef0f732abe77eb5a13439baf333e37bff737

Aliases

arxiv: 1602.06741 · arxiv_version: 1602.06741v3 · doi: 10.48550/arxiv.1602.06741 · pith_short_12: VDMSSKKE22BU · pith_short_16: VDMSSKKE22BUR4WF · pith_short_8: VDMSSKKE

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/VDMSSKKE22BUR4WFUQDKJXHPB5 \
  | 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: a8d9292944d68348f2c5a406a4dcef0f732abe77eb5a13439baf333e37bff737

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2e6520693d5c0d45ed01db1043356934c2b28ced76159b59c32c2eeae5f8a0b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-02-22T11:55:32Z",
    "title_canon_sha256": "eb7e21aafea98909734569ce3d1f45316dea2e3b78c9eb90264910d738ef45bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06741",
    "kind": "arxiv",
    "version": 3
  }
}