Pith Number

pith:5ILB5NAM

pith:2012:5ILB5NAMQKMMZNDSSLCMHLZ3ZB

not attested not anchored not stored refs pending

A new numerical approach to Anderson (de)localization

Constanze Liaw

arxiv:1207.2843 v1 · 2012-07-12 · math-ph · math.MP · 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{5ILB5NAMQKMMZNDSSLCMHLZ3ZB}

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	2026-05-18T03:04:38.476637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea161eb40c8298ccb47292c4c3af3bc870525004aadc3944109efb02e3f24567

Aliases

arxiv: 1207.2843 · arxiv_version: 1207.2843v1 · doi: 10.48550/arxiv.1207.2843 · pith_short_12: 5ILB5NAMQKMM · pith_short_16: 5ILB5NAMQKMMZNDS · pith_short_8: 5ILB5NAM

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/5ILB5NAMQKMMZNDSSLCMHLZ3ZB \
  | 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: ea161eb40c8298ccb47292c4c3af3bc870525004aadc3944109efb02e3f24567

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aac6da40266c037a201e9dc6859131be069e23bdce78aca7eac8fbbf2a39dc57",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-12T05:08:30Z",
    "title_canon_sha256": "a91fcef5a17be6f2f9c72a57fcdb67dea4c64f9465c4eb47d3bc991a1d9f2a58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2843",
    "kind": "arxiv",
    "version": 1
  }
}