Pith Number

pith:HUBUXSXW

pith:2016:HUBUXSXWWWM42UCPBXR7TNAY2K

not attested not anchored not stored refs pending

Raghavan Narsimhan's proof of L. Schwartz's perturbation theorem

M. K. Vemuri

arxiv:1606.03155 v1 · 2016-06-10 · math.FA · math.CV · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HUBUXSXWWWM42UCPBXR7TNAY2K}

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	2026-05-18T01:12:37.464610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d034bcaf6b599cd504f0de3f9b418d2a482cc5037ecead57b0972b4194dfbaf

Aliases

arxiv: 1606.03155 · arxiv_version: 1606.03155v1 · doi: 10.48550/arxiv.1606.03155 · pith_short_12: HUBUXSXWWWM4 · pith_short_16: HUBUXSXWWWM42UCP · pith_short_8: HUBUXSXW

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/HUBUXSXWWWM42UCPBXR7TNAY2K \
  | 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: 3d034bcaf6b599cd504f0de3f9b418d2a482cc5037ecead57b0972b4194dfbaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b63353b6f908c69cd77c1c347d015709cf4a31a2dd39c606f3ebb50f727bd7b",
    "cross_cats_sorted": [
      "math.CV",
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-06-10T01:41:37Z",
    "title_canon_sha256": "e34e6e3fda5d614f0af0f4c500cfdd13a7a68dc649d3aaf7aa339981bfc0025c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03155",
    "kind": "arxiv",
    "version": 1
  }
}