Pith Number

pith:IOTIE2TY

pith:2016:IOTIE2TYVZAG6ILIDM7MHRXNZZ

not attested not anchored not stored refs pending

On a Question of N. Th. Varopoulos and the constant $C_2(n)$

Rajeev Gupta, Samya Kumar Ray

arxiv:1611.06726 v3 · 2016-11-21 · 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{IOTIE2TYVZAG6ILIDM7MHRXNZZ}

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	2026-05-18T00:24:53.104030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43a6826a78ae406f21681b3ec3c6edce77873595fa0120e15d85c88421a9fbd0

Aliases

arxiv: 1611.06726 · arxiv_version: 1611.06726v3 · doi: 10.48550/arxiv.1611.06726 · pith_short_12: IOTIE2TYVZAG · pith_short_16: IOTIE2TYVZAG6ILI · pith_short_8: IOTIE2TY

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/IOTIE2TYVZAG6ILIDM7MHRXNZZ \
  | 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: 43a6826a78ae406f21681b3ec3c6edce77873595fa0120e15d85c88421a9fbd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d619c3aeccc5e306a027c80e22a3794c696afe6ba701fa1d11a3e2912e16adb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-11-21T11:17:28Z",
    "title_canon_sha256": "cbbc203d71d4c51cc7b819949f7f0831ec020a269a472661fdfece08cee0307c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06726",
    "kind": "arxiv",
    "version": 3
  }
}