Pith Number

pith:MSGU3HX7

pith:2025:MSGU3HX72WFGPOBFVOGJ4TXS6K

not attested not anchored not stored refs pending

Invertible completions of FLI and FRI upper triangular operator matrices

Nikola Sarajlija

arxiv:2508.20956 v2 · 2025-08-28 · 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{MSGU3HX72WFGPOBFVOGJ4TXS6K}

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	2026-05-28T01:04:30.050307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

648d4d9effd58a67b825ab8c9e4ef2f296f85e0fca2b03d47e405971ccafde63

Aliases

arxiv: 2508.20956 · arxiv_version: 2508.20956v2 · doi: 10.48550/arxiv.2508.20956 · pith_short_12: MSGU3HX72WFG · pith_short_16: MSGU3HX72WFGPOBF · pith_short_8: MSGU3HX7

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/MSGU3HX72WFGPOBFVOGJ4TXS6K \
  | 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: 648d4d9effd58a67b825ab8c9e4ef2f296f85e0fca2b03d47e405971ccafde63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc26f2255bd00fefdfeaa82c307d02c4b5044003df6a67639a092bafa80d9f75",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-08-28T16:18:14Z",
    "title_canon_sha256": "d9ffb3a207ac5904817bc0105fc00dd1ec2e418e76ca4ae47ffec798dc58d78d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20956",
    "kind": "arxiv",
    "version": 2
  }
}