Pith Number

pith:BAH73H4Q

pith:1999:BAH73H4Q2PJ7J3L543NJ7S5WOC

not attested not anchored not stored refs pending

Dynamical properties of random Schr\"odinger operators

Jean-Marie Barbaroux, Peter M\"uller, Werner Fischer

arxiv:math-ph/9907002 v1 · 1999-07-01 · 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{BAH73H4Q2PJ7J3L543NJ7S5WOC}

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	2026-05-18T01:05:29.892988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

080ffd9f90d3d3f4ed7de6da9fcbb670a38a14b5a8c91db4f06555cac096dec3

Aliases

arxiv: math-ph/9907002 · arxiv_version: math-ph/9907002v1 · doi: 10.48550/arxiv.math-ph/9907002 · pith_short_12: BAH73H4Q2PJ7 · pith_short_16: BAH73H4Q2PJ7J3L5 · pith_short_8: BAH73H4Q

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/BAH73H4Q2PJ7J3L543NJ7S5WOC \
  | 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: 080ffd9f90d3d3f4ed7de6da9fcbb670a38a14b5a8c91db4f06555cac096dec3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f87e3f2d60316cf1c6eec0b8164ca2de9c429498283c5a2db681eb262b15feb6",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1999-07-01T17:36:10Z",
    "title_canon_sha256": "1e9b0681d53531f2bc7463be2375dc2a212c874c15427194dfbc940f1e0c62f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9907002",
    "kind": "arxiv",
    "version": 1
  }
}