Pith Number

pith:FUDJML2Y

pith:2018:FUDJML2YD7QNTBDINUOR6XALEY

not attested not anchored not stored refs pending

A duality principle for groups II: Multi-frames meet super-frames

David Larson, Deguang Han, Dorin Ervin Dutkay, Franz Luef, Radu Balan

arxiv:1812.03019 v1 · 2018-12-07 · 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{FUDJML2YD7QNTBDINUOR6XALEY}

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	2026-05-17T23:58:51.141626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d06962f581fe0d984686d1d1f5c0b26074950ace3f4db1214bc3b2a098c2884

Aliases

arxiv: 1812.03019 · arxiv_version: 1812.03019v1 · doi: 10.48550/arxiv.1812.03019 · pith_short_12: FUDJML2YD7QN · pith_short_16: FUDJML2YD7QNTBDI · pith_short_8: FUDJML2Y

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/FUDJML2YD7QNTBDINUOR6XALEY \
  | 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: 2d06962f581fe0d984686d1d1f5c0b26074950ace3f4db1214bc3b2a098c2884

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1522ae4f981aee18a999a3acf26292f683bf2151a98e62ec8cf5ab7da056951",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-12-07T13:19:18Z",
    "title_canon_sha256": "a44919c83ca3ff9091bf13ba6118564ef06e85cc4f72bbbff859240d5526ff90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03019",
    "kind": "arxiv",
    "version": 1
  }
}