Pith Number

pith:TGGY6DUS

pith:2024:TGGY6DUSU2UC6JYJB5TIXU5VX4

not attested not anchored not stored refs pending

On point spectrum of Jacobi matrices generated by iterations of quadratic polynomials

Benjamin Eichinger, Milivoje Luki\'c, Peter Yuditskii

arxiv:2405.19470 v2 · 2024-05-29 · 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{TGGY6DUSU2UC6JYJB5TIXU5VX4}

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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	2026-07-05T11:51:59.887365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

998d8f0e92a6a82f27090f668bd3b5bf07d96c302afbdbc1016f2fa757abe8b7

Aliases

arxiv: 2405.19470 · arxiv_version: 2405.19470v2 · doi: 10.48550/arxiv.2405.19470 · pith_short_12: TGGY6DUSU2UC · pith_short_16: TGGY6DUSU2UC6JYJ · pith_short_8: TGGY6DUS

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/TGGY6DUSU2UC6JYJB5TIXU5VX4 \
  | 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: 998d8f0e92a6a82f27090f668bd3b5bf07d96c302afbdbc1016f2fa757abe8b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc0c991119e2b0f7698fd20e44a2841c279568438826e9f721af7bbf0ff70067",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2024-05-29T19:37:40Z",
    "title_canon_sha256": "c203966ab804f1c26b238f489da32638a6152eee16f0ed9b4743e836e7830b21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.19470",
    "kind": "arxiv",
    "version": 2
  }
}