Pith Number

pith:EXZI646B

pith:2024:EXZI646BOHZGYT6W43FUYIWT64

not attested not anchored not stored refs pending

Convergence of Complementable Operators

P. Sam Johnson, Sachin Manjunath Naik

arxiv:2411.15636 v2 · 2024-11-23 · 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{EXZI646BOHZGYT6W43FUYIWT64}

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	2026-07-05T09:59:55.611313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25f28f73c171f26c4fd6e6cb4c22d3f736eee30ec21f4a0f1a009146d7abb7dd

Aliases

arxiv: 2411.15636 · arxiv_version: 2411.15636v2 · doi: 10.48550/arxiv.2411.15636 · pith_short_12: EXZI646BOHZG · pith_short_16: EXZI646BOHZGYT6W · pith_short_8: EXZI646B

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/EXZI646BOHZGYT6W43FUYIWT64 \
  | 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: 25f28f73c171f26c4fd6e6cb4c22d3f736eee30ec21f4a0f1a009146d7abb7dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e840254b41763c27dd0d31f4ccff1494a4a8153df34837898a99cd9705390565",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-11-23T19:27:31Z",
    "title_canon_sha256": "4dec7013129cdce3ef3b85638730ade5ccce0eb463ba6b723aa652976348a2d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15636",
    "kind": "arxiv",
    "version": 2
  }
}