Pith Number

pith:NHDNZHGE

pith:2012:NHDNZHGEW4HSLDOFDKZV74NIP2

not attested not anchored not stored refs pending

Weyl asymptotics: From closed to open systems

A. Potzuweit, H.-J. Stoeckmann, M. Zworski, S. Barkhofen, T. Weich, U. Kuhl

arxiv:1209.2304 v2 · 2012-09-11 · cond-mat.mes-hall

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NHDNZHGEW4HSLDOFDKZV74NIP2}

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	2026-05-18T03:39:04.891934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69c6dc9cc4b70f258dc51ab35ff1a87eb7e657179330d2efebbb93f39a38e35b

Aliases

arxiv: 1209.2304 · arxiv_version: 1209.2304v2 · doi: 10.48550/arxiv.1209.2304 · pith_short_12: NHDNZHGEW4HS · pith_short_16: NHDNZHGEW4HSLDOF · pith_short_8: NHDNZHGE

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/NHDNZHGEW4HSLDOFDKZV74NIP2 \
  | 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: 69c6dc9cc4b70f258dc51ab35ff1a87eb7e657179330d2efebbb93f39a38e35b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94c82d3c485a3d99a6ca181b73dcd792750abf5b33077bd39946e2fff6dc1ab6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2012-09-11T12:31:05Z",
    "title_canon_sha256": "2fdb92fba3b127e8a546948312f4b001b93760a3bee4a34f70d45fde23e7035d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2304",
    "kind": "arxiv",
    "version": 2
  }
}