Pith Number

pith:KPUIMVL4

pith:2016:KPUIMVL4NVRN5RPHX6YL2XKHIJ

not attested not anchored not stored refs pending

Asymptotics of the quantization errors for condensation measures

Mrinal Kanti Roychowdhury

arxiv:1610.07490 v5 · 2016-10-24 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KPUIMVL4NVRN5RPHX6YL2XKHIJ}

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	2026-05-18T00:19:19.536333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53e886557c6d62dec5e7bfb0bd5d47426cf0b1806fa88fa7a0085dd7ef2724da

Aliases

arxiv: 1610.07490 · arxiv_version: 1610.07490v5 · doi: 10.48550/arxiv.1610.07490 · pith_short_12: KPUIMVL4NVRN · pith_short_16: KPUIMVL4NVRN5RPH · pith_short_8: KPUIMVL4

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/KPUIMVL4NVRN5RPHX6YL2XKHIJ \
  | 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: 53e886557c6d62dec5e7bfb0bd5d47426cf0b1806fa88fa7a0085dd7ef2724da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "902d7473c955e34228805e04cb2f6da26ea3c0cc9ce065f9a9a4a055607dd525",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-10-24T16:53:34Z",
    "title_canon_sha256": "6a9e4cadb201a9d60a4be3dc8466a4da27b91d1c4d581530ea5ef8a28ca68328"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07490",
    "kind": "arxiv",
    "version": 5
  }
}