Pith Number

pith:BYTBCM5V

pith:2018:BYTBCM5VRZOUANMJR2JZ2UOCRE

not attested not anchored not stored refs pending

Phillips symmetric operators and their extensions

L. Nizhnik, S. Kuzhel

arxiv:1801.04915 v2 · 2018-01-12 · math.FA · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BYTBCM5VRZOUANMJR2JZ2UOCRE}

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	2026-05-18T00:00:45.912971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e261133b58e5d4035898e939d51c2890ba8c08a814c1f4b390e367e76ad1939

Aliases

arxiv: 1801.04915 · arxiv_version: 1801.04915v2 · doi: 10.48550/arxiv.1801.04915 · pith_short_12: BYTBCM5VRZOU · pith_short_16: BYTBCM5VRZOUANMJ · pith_short_8: BYTBCM5V

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/BYTBCM5VRZOUANMJR2JZ2UOCRE \
  | 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: 0e261133b58e5d4035898e939d51c2890ba8c08a814c1f4b390e367e76ad1939

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdeb0e41744c8b94cbc43f32eb6feff0a7b99a76161693fa1fda13229d38cc33",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-01-12T21:33:39Z",
    "title_canon_sha256": "e9a5b328cd9ed5931d046ee603a0832d934563a7e0146b0b751fc3cde5276444"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04915",
    "kind": "arxiv",
    "version": 2
  }
}