Pith Number

pith:ZBQS4KU4

pith:2016:ZBQS4KU4NWWSP5JHTJ7IRVFFEG

not attested not anchored not stored refs pending

Compare and contrast between duals of fusion and discrete frames

Ali Akbar Arefijamaal, Elnaz Osgooei

arxiv:1605.01045 v2 · 2016-05-03 · 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{ZBQS4KU4NWWSP5JHTJ7IRVFFEG}

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	2026-05-18T01:15:33.765855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8612e2a9c6dad27f5279a7e88d4a521957f9b371df7fc7839ea0ed23323c22c

Aliases

arxiv: 1605.01045 · arxiv_version: 1605.01045v2 · doi: 10.48550/arxiv.1605.01045 · pith_short_12: ZBQS4KU4NWWS · pith_short_16: ZBQS4KU4NWWSP5JH · pith_short_8: ZBQS4KU4

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/ZBQS4KU4NWWSP5JHTJ7IRVFFEG \
  | 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: c8612e2a9c6dad27f5279a7e88d4a521957f9b371df7fc7839ea0ed23323c22c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22696c8605e0e7b79df8ffe9f061bd1fb18e27a33494e8f61901a83e13dcbba5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-05-03T19:52:38Z",
    "title_canon_sha256": "cf620bf2f866a52f3230488bfe6e11e0cc490d035f199ac550cd4ded177d1aa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01045",
    "kind": "arxiv",
    "version": 2
  }
}