Pith Number

pith:ML2U3OX6

pith:2016:ML2U3OX6EBZL7ZX2M5TUQRUAAS

not attested not anchored not stored refs pending

On the duality of c-fusion frames in Hilbert spaces

Asghar Rahimi, Bayaz Daraby, Zahra Darvishi

arxiv:1608.02182 v1 · 2016-08-07 · 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{ML2U3OX6EBZL7ZX2M5TUQRUAAS}

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	2026-05-18T01:09:40.799721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62f54dbafe2072bfe6fa676748468004b51f4a89af2a3299a1fa2d8e87128b80

Aliases

arxiv: 1608.02182 · arxiv_version: 1608.02182v1 · doi: 10.48550/arxiv.1608.02182 · pith_short_12: ML2U3OX6EBZL · pith_short_16: ML2U3OX6EBZL7ZX2 · pith_short_8: ML2U3OX6

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/ML2U3OX6EBZL7ZX2M5TUQRUAAS \
  | 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: 62f54dbafe2072bfe6fa676748468004b51f4a89af2a3299a1fa2d8e87128b80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6b8128d3b3f785c16b2de3033c06c245cc60224ae355a41c26be6ec94481867",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-08-07T05:47:11Z",
    "title_canon_sha256": "a99a5dece47317929e7cd2385429de7c957a0bedd3c629cb8d23bbfc7d6f100a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02182",
    "kind": "arxiv",
    "version": 1
  }
}