Pith Number

pith:PLKLEFP4

pith:2018:PLKLEFP4EIPUMHAT6METMN3JCG

not attested not anchored not stored refs pending

On the Sign Distributions of Hilbert Space Frames

Alexander Volberg, Nikolai Nikolski

arxiv:1812.06313 v3 · 2018-12-15 · math.FA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PLKLEFP4EIPUMHAT6METMN3JCG}

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	2026-05-17T23:57:30.562214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ad4b215fc221f461c13f30936376911b00ec363a0f75cd1fddda81ded869d19

Aliases

arxiv: 1812.06313 · arxiv_version: 1812.06313v3 · doi: 10.48550/arxiv.1812.06313 · pith_short_12: PLKLEFP4EIPU · pith_short_16: PLKLEFP4EIPUMHAT · pith_short_8: PLKLEFP4

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/PLKLEFP4EIPUMHAT6METMN3JCG \
  | 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: 7ad4b215fc221f461c13f30936376911b00ec363a0f75cd1fddda81ded869d19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "692068d7856118649a349eb930f55fd978d3d555156b44d4b20ba8e2cab0d5ba",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-12-15T16:15:00Z",
    "title_canon_sha256": "3e90e82fb9a20f362a0cdc53c729d8f6510d0086e568438bf932f63bcebff29e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06313",
    "kind": "arxiv",
    "version": 3
  }
}