Pith Number

pith:TQBGXWWV

pith:2013:TQBGXWWVKXY7IZ3PQKPFCO2CVK

not attested not anchored not stored refs pending

Superlensing using complementary media

Hoai-Minh Nguyen

arxiv:1311.5700 v2 · 2013-11-22 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQBGXWWVKXY7IZ3PQKPFCO2CVK}

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	2026-05-18T01:37:16.326914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c026bdad555f1f4676f829e513b42aa8b8e00e4367edcb578c2938eec0ec333

Aliases

arxiv: 1311.5700 · arxiv_version: 1311.5700v2 · doi: 10.48550/arxiv.1311.5700 · pith_short_12: TQBGXWWVKXY7 · pith_short_16: TQBGXWWVKXY7IZ3P · pith_short_8: TQBGXWWV

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/TQBGXWWVKXY7IZ3PQKPFCO2CVK \
  | 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: 9c026bdad555f1f4676f829e513b42aa8b8e00e4367edcb578c2938eec0ec333

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "264f22e9fe10c187e53bf903c6b6c313680593505384e4fdc7cf02e15b312317",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-22T10:26:12Z",
    "title_canon_sha256": "15714ad1a3f006f5fd779aee20cb9ca91db13c71ee374b037678c656cabc943e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5700",
    "kind": "arxiv",
    "version": 2
  }
}