Pith Number

pith:BPOLT5PZ

pith:2008:BPOLT5PZRWZSJGHGXE2G3UZK3T

not attested not anchored not stored refs pending

Localization Bounds for Multiparticle Systems

Michael Aizenman, Simone Warzel

arxiv:0809.3436 v3 · 2008-09-19 · 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{BPOLT5PZRWZSJGHGXE2G3UZK3T}

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	2026-05-18T02:15:34.171859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bdcb9f5f98db32498e6b9346dd32adcd1957bdca10922f8a5f5291a17341865

Aliases

arxiv: 0809.3436 · arxiv_version: 0809.3436v3 · doi: 10.48550/arxiv.0809.3436 · pith_short_12: BPOLT5PZRWZS · pith_short_16: BPOLT5PZRWZSJGHG · pith_short_8: BPOLT5PZ

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/BPOLT5PZRWZSJGHGXE2G3UZK3T \
  | 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: 0bdcb9f5f98db32498e6b9346dd32adcd1957bdca10922f8a5f5291a17341865

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e41f65f529dffe756c65457b1b56c371f07d2e97216ae0a6352770a70b30ec7",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-09-19T18:51:50Z",
    "title_canon_sha256": "f0d81c34df5c6f7166430afffdc50bb8142f9f121d19864883257828a697602d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.3436",
    "kind": "arxiv",
    "version": 3
  }
}