Pith Number

pith:4ZI5F5B6

pith:2011:4ZI5F5B6HRY2JWXEKEAXEML2KI

not attested not anchored not stored refs pending

Enhanced Approximate Cloaking by SH and FSH Lining

Hongpeng Sun, Hongyu Liu, Jingzhi Li

arxiv:1108.6255 v3 · 2011-08-31 · math.AP · math-ph · math.MP · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ZI5F5B6HRY2JWXEKEAXEML2KI}

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	2026-05-18T02:00:43.959164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e651d2f43e3c71a4dae4510172317a521539ef489542d94d7dd48faa2ef84d7d

Aliases

arxiv: 1108.6255 · arxiv_version: 1108.6255v3 · doi: 10.48550/arxiv.1108.6255 · pith_short_12: 4ZI5F5B6HRY2 · pith_short_16: 4ZI5F5B6HRY2JWXE · pith_short_8: 4ZI5F5B6

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/4ZI5F5B6HRY2JWXEKEAXEML2KI \
  | 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: e651d2f43e3c71a4dae4510172317a521539ef489542d94d7dd48faa2ef84d7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73097d136f445b7a59e44ef05f80c2ac9c132ee5fc1b9b6537141f1aa251e3d9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-08-31T15:07:53Z",
    "title_canon_sha256": "6be3b40c5c576f355f6d4559be7eafd8988aaf888bb7ce0207c7b1982b55d6bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6255",
    "kind": "arxiv",
    "version": 3
  }
}