Pith Number

pith:HBQJXK54

pith:2026:HBQJXK54S5FBT6EAAUF6OQJYI4

not attested not anchored not stored refs pending

Extending Meshulam's result on the boundedness of orbits of relaxed projections onto affine subspaces from finite to infinite-dimensional Hilbert spaces

Heinz H. Bauschke, Tran Thanh Tung

arxiv:2602.00544 v2 · 2026-01-31 · math.OC · 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{HBQJXK54S5FBT6EAAUF6OQJYI4}

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	2026-06-04T01:08:40.928516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38609babbc974a19f880050be7413847198d620799217029df0e708dc4fec960

Aliases

arxiv: 2602.00544 · arxiv_version: 2602.00544v2 · doi: 10.48550/arxiv.2602.00544 · pith_short_12: HBQJXK54S5FB · pith_short_16: HBQJXK54S5FBT6EA · pith_short_8: HBQJXK54

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/HBQJXK54S5FBT6EAAUF6OQJYI4 \
  | 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: 38609babbc974a19f880050be7413847198d620799217029df0e708dc4fec960

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2650f9ecb8893846ac40434e16c673dce4f76c47dbea5719611d579015de8b7a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-01-31T06:16:56Z",
    "title_canon_sha256": "e9e1f17a63ea7f26870f65070a01f0210346bb9e602af06ced19b4ad45fbcd54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.00544",
    "kind": "arxiv",
    "version": 2
  }
}