Pith Number

pith:X6U4TOAS

pith:2016:X6U4TOASRMF4LUZXRKLIYOJEVP

not attested not anchored not stored refs pending

Inhomogeneous Jacobi matrices on trees

Ryszard Szwarc

arxiv:1605.03276 v1 · 2016-05-11 · 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{X6U4TOASRMF4LUZXRKLIYOJEVP}

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	2026-05-18T01:15:05.819230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfa9c9b8128b0bc5d3378a968c3924abd446e65fea009f5ec8bc8956fb9b9ce7

Aliases

arxiv: 1605.03276 · arxiv_version: 1605.03276v1 · doi: 10.48550/arxiv.1605.03276 · pith_short_12: X6U4TOASRMF4 · pith_short_16: X6U4TOASRMF4LUZX · pith_short_8: X6U4TOAS

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/X6U4TOASRMF4LUZXRKLIYOJEVP \
  | 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: bfa9c9b8128b0bc5d3378a968c3924abd446e65fea009f5ec8bc8956fb9b9ce7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3102649093bd30e8e27a052f34b4a7b5689a2781d3c4b311e944d15a8555e54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-05-11T04:39:28Z",
    "title_canon_sha256": "314247ff87fccb34d62f0f9ea6bd250c9aa70f3543b2b62e20c7e110f4cd877d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03276",
    "kind": "arxiv",
    "version": 1
  }
}