Pith Number

pith:RGON4Q3E

pith:2016:RGON4Q3EM2K3SQGEJVDBVTBG5Q

not attested not anchored not stored refs pending

Pseudo B-Fredholm Operators and Spectral Theory

Abdelaziz Tajmouati, Mohamed Amouch, Mohamed Karmouni

arxiv:1603.07509 v1 · 2016-03-24 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RGON4Q3EM2K3SQGEJVDBVTBG5Q}

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	2026-05-18T01:18:20.682481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

899cde43646695b940c44d461acc26ec28b706eca9c83584ca3db41643da4d27

Aliases

arxiv: 1603.07509 · arxiv_version: 1603.07509v1 · doi: 10.48550/arxiv.1603.07509 · pith_short_12: RGON4Q3EM2K3 · pith_short_16: RGON4Q3EM2K3SQGE · pith_short_8: RGON4Q3E

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/RGON4Q3EM2K3SQGEJVDBVTBG5Q \
  | 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: 899cde43646695b940c44d461acc26ec28b706eca9c83584ca3db41643da4d27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dd98690a885b978cdd827497efa95ba9e80202e80dbfb39490b4cd81730265b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-03-24T10:22:38Z",
    "title_canon_sha256": "a4b873888d348161bf4adbbc49228826f702bd72bb13a93d7f61e31ee62f7f10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07509",
    "kind": "arxiv",
    "version": 1
  }
}