Pith Number

pith:ORYDJ5Z6

pith:2016:ORYDJ5Z63AU6B7NARYOR4OAX3J

not attested not anchored not stored refs pending

A Dynamic Uncertainty Principle for Jacobi Operators

Gerald Teschl, Isaac Alvarez-Romero

arxiv:1608.04344 v2 · 2016-08-15 · math-ph · math.AP · 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{ORYDJ5Z63AU6B7NARYOR4OAX3J}

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	2026-05-18T00:50:19.460048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

747034f73ed829e0fda08e1d1e3817da56737eb43ee5e58574755c7afbabc7e5

Aliases

arxiv: 1608.04344 · arxiv_version: 1608.04344v2 · doi: 10.48550/arxiv.1608.04344 · pith_short_12: ORYDJ5Z63AU6 · pith_short_16: ORYDJ5Z63AU6B7NA · pith_short_8: ORYDJ5Z6

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/ORYDJ5Z63AU6B7NARYOR4OAX3J \
  | 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: 747034f73ed829e0fda08e1d1e3817da56737eb43ee5e58574755c7afbabc7e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "717bc0745902002e74cdac337c51edde435ad6d2d09723d20974fa787e36a8c2",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-08-15T17:51:22Z",
    "title_canon_sha256": "eb6acefbf1362579aadb6b165a7cfc86aded9b93f8eb0ae71b6c0378ac7e4e70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04344",
    "kind": "arxiv",
    "version": 2
  }
}