Pith Number

pith:LXCHK6J5

pith:2012:LXCHK6J5L6GB2KCESV3A6X2Y7M

not attested not anchored not stored refs pending

Exactly solvable toy model for a SPASER

A. A. Lisyansky, A. P. Vinogradov, D. G. Baranov, E. S. Andrianov

arxiv:1208.5042 v2 · 2012-08-24 · 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{LXCHK6J5L6GB2KCESV3A6X2Y7M}

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	2026-05-18T01:54:58.484703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dc475793d5f8c1d284495760f5f58fb23f5f5b9772a77216d7af5246873d79d

Aliases

arxiv: 1208.5042 · arxiv_version: 1208.5042v2 · doi: 10.48550/arxiv.1208.5042 · pith_short_12: LXCHK6J5L6GB · pith_short_16: LXCHK6J5L6GB2KCE · pith_short_8: LXCHK6J5

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/LXCHK6J5L6GB2KCESV3A6X2Y7M \
  | 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: 5dc475793d5f8c1d284495760f5f58fb23f5f5b9772a77216d7af5246873d79d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b480ac6906599d69fe96c86c8955f94083481aea9559b7d95eac092d3d0e5210",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2012-08-24T19:42:26Z",
    "title_canon_sha256": "af2f7485d176f906f0326a307ea53be103663c22779d46c05adf9d8a0bfba5bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5042",
    "kind": "arxiv",
    "version": 2
  }
}