Pith Number

pith:VLBLE3CQ

pith:2016:VLBLE3CQKEZNFM53ZHWL5T2UCA

not attested not anchored not stored refs pending

Duality of ODE-determined norms

Jarno Talponen

arxiv:1609.04991 v3 · 2016-09-16 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VLBLE3CQKEZNFM53ZHWL5T2UCA}

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	2026-05-18T00:52:30.876813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aac2b26c505132d2b3bbc9ecbecf54103fadabf780c5dad70237afe10ab99afe

Aliases

arxiv: 1609.04991 · arxiv_version: 1609.04991v3 · doi: 10.48550/arxiv.1609.04991 · pith_short_12: VLBLE3CQKEZN · pith_short_16: VLBLE3CQKEZNFM53 · pith_short_8: VLBLE3CQ

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/VLBLE3CQKEZNFM53ZHWL5T2UCA \
  | 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: aac2b26c505132d2b3bbc9ecbecf54103fadabf780c5dad70237afe10ab99afe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "453f52f30bd04ef46f0e818b77ed290179f67627f1335f5821adb7e4cceb8122",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-16T10:48:19Z",
    "title_canon_sha256": "365a59ba4883a0be27a7863b175194bd4fc133d0d7e01e38623835e47cb42332"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04991",
    "kind": "arxiv",
    "version": 3
  }
}