Pith Number

pith:6MUFGRS7

pith:2012:6MUFGRS7ODNDMAHFYCBSMXZHIQ

not attested not anchored not stored refs pending

Green function for hyperbolic media

Alexander N. Poddubny, Andrey S. Potemkin, Pavel A. Belov, Yuri S. Kivshar

arxiv:1206.7076 v1 · 2012-06-29 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6MUFGRS7ODNDMAHFYCBSMXZHIQ}

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	2026-05-18T03:46:47.084627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f32853465f70da3600e5c083265f27442a394c6f16aa4bf1f59cfa6c5233235d

Aliases

arxiv: 1206.7076 · arxiv_version: 1206.7076v1 · doi: 10.48550/arxiv.1206.7076 · pith_short_12: 6MUFGRS7ODND · pith_short_16: 6MUFGRS7ODNDMAHF · pith_short_8: 6MUFGRS7

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/6MUFGRS7ODNDMAHFYCBSMXZHIQ \
  | 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: f32853465f70da3600e5c083265f27442a394c6f16aa4bf1f59cfa6c5233235d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "116cf1105aea9c13c5a9282bddf99ad4af4a4536c42ff20abd9bc9dc18f8f12e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-06-29T17:11:23Z",
    "title_canon_sha256": "6817aa77186096e8f4b5c22174f283edc4975a41cb08b9bb03befa023decbebe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.7076",
    "kind": "arxiv",
    "version": 1
  }
}