Pith Number

pith:RYVGZDHO

pith:2016:RYVGZDHOXULNHOZCKKNNXR2RHL

not attested not anchored not stored refs pending

On the continuity of functionals defined on partitions

Matthias Ruf

arxiv:1612.01781 v1 · 2016-12-06 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RYVGZDHOXULNHOZCKKNNXR2RHL}

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	2026-05-18T00:55:47.605145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e2a6c8ceebd16d3bb22529adbc7513af10895d77d1a349bb03c36a466d33442

Aliases

arxiv: 1612.01781 · arxiv_version: 1612.01781v1 · doi: 10.48550/arxiv.1612.01781 · pith_short_12: RYVGZDHOXULN · pith_short_16: RYVGZDHOXULNHOZC · pith_short_8: RYVGZDHO

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/RYVGZDHOXULNHOZCKKNNXR2RHL \
  | 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: 8e2a6c8ceebd16d3bb22529adbc7513af10895d77d1a349bb03c36a466d33442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f07f07cab3ea596db9c53400e4f32033ff65ebdb47b3a9754cbdcacaccc36ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-12-06T12:35:27Z",
    "title_canon_sha256": "1402c4ef5ef2f633fc23a540b38e9e3f78d0dc863e8eeee82298f6853b3f9681"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01781",
    "kind": "arxiv",
    "version": 1
  }
}