Pith Number

pith:KMYTISLY

pith:2019:KMYTISLYBLNIP6USDAZNL2M6DG

not attested not anchored not stored refs pending

An introduction to functional analysis for science and engineering

David A. B. Miller

arxiv:1904.02539 v2 · 2019-04-02 · math.FA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KMYTISLYBLNIP6USDAZNL2M6DG}

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	2026-05-17T23:48:44.950157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53313449780ada87fa921832d5e99e19a040940e4c33d5e2d4fd9a22b86332bb

Aliases

arxiv: 1904.02539 · arxiv_version: 1904.02539v2 · doi: 10.48550/arxiv.1904.02539 · pith_short_12: KMYTISLYBLNI · pith_short_16: KMYTISLYBLNIP6US · pith_short_8: KMYTISLY

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/KMYTISLYBLNIP6USDAZNL2M6DG \
  | 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: 53313449780ada87fa921832d5e99e19a040940e4c33d5e2d4fd9a22b86332bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94af58aa1c91b16a361d98673625aa53c698cc4f0c880d01ea1a9013502647d3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-04-02T18:02:44Z",
    "title_canon_sha256": "731252317bced88630f2c107bada5f28774bbaae6c984abe6a017dedea76e23e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.02539",
    "kind": "arxiv",
    "version": 2
  }
}