Pith Number

pith:P7PBRKKF

pith:1999:P7PBRKKFMARZ6PEZDGOHMPKGKY

not attested not anchored not stored refs pending

Dynamical Localization for the Random Dimer Model

F. Germinet, S. De Bi\`evre

arxiv:math-ph/9907006 v1 · 1999-07-07 · 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{P7PBRKKFMARZ6PEZDGOHMPKGKY}

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	2026-05-18T01:38:30.523106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fde18a94560239f3c99199c763d465613de54bc399feffb72daa0b354ec66a0

Aliases

arxiv: math-ph/9907006 · arxiv_version: math-ph/9907006v1 · doi: 10.48550/arxiv.math-ph/9907006 · pith_short_12: P7PBRKKFMARZ · pith_short_16: P7PBRKKFMARZ6PEZ · pith_short_8: P7PBRKKF

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/P7PBRKKFMARZ6PEZDGOHMPKGKY \
  | 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: 7fde18a94560239f3c99199c763d465613de54bc399feffb72daa0b354ec66a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebacf6e365e860e65331eb17ab7f75ad5dce26f2f09890156cc99cb0b2b7738e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1999-07-07T08:32:18Z",
    "title_canon_sha256": "ba9ddee533f5d8e5831f9e9270cdf29907971b7950de3e0a8fa90d2a212d6186"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9907006",
    "kind": "arxiv",
    "version": 1
  }
}