Pith Number

pith:DC2NENEP

pith:2000:DC2NENEPQXBSCVRAF3S2YUWEG2

not attested not anchored not stored refs pending

Regularity of the Density of Surface States

Robert Schrader, Vadim Kostrykin

arxiv:math-ph/0011019 v1 · 2000-11-11 · 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{DC2NENEPQXBSCVRAF3S2YUWEG2}

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	2026-07-04T14:33:37.102123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18b4d2348f85c32156202ee5ac52c4368da14029898fef3b8a5d65b9bc7285bb

Aliases

arxiv: math-ph/0011019 · arxiv_version: math-ph/0011019v1 · doi: 10.48550/arxiv.math-ph/0011019 · pith_short_12: DC2NENEPQXBS · pith_short_16: DC2NENEPQXBSCVRA · pith_short_8: DC2NENEP

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/DC2NENEPQXBSCVRAF3S2YUWEG2 \
  | 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: 18b4d2348f85c32156202ee5ac52c4368da14029898fef3b8a5d65b9bc7285bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7ed0c9a2cc1d3817f2efa9c09b04a3c7c8bdcdeca81e88cd63f21d2a6f0c0f1",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-11-11T19:28:38Z",
    "title_canon_sha256": "bdb01e27021186e9c2d44f90b8c42823bf14208b5257f3c2d2ee119f781b0acb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0011019",
    "kind": "arxiv",
    "version": 1
  }
}