Pith Number

pith:G2BCCF4W

pith:2013:G2BCCF4WOIBB4CW5G7HER3L7M2

not attested not anchored not stored refs pending

Longtime behavior of coupled wave equations for semiconductor lasers

Jan Sieber

arxiv:1308.2060 v1 · 2013-08-09 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G2BCCF4WOIBB4CW5G7HER3L7M2}

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	2026-05-18T03:16:18.336420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

368221179672021e0add37ce48ed7f66b5b07395d88da780df1aefe7ee29b39a

Aliases

arxiv: 1308.2060 · arxiv_version: 1308.2060v1 · doi: 10.48550/arxiv.1308.2060 · pith_short_12: G2BCCF4WOIBB · pith_short_16: G2BCCF4WOIBB4CW5 · pith_short_8: G2BCCF4W

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/G2BCCF4WOIBB4CW5G7HER3L7M2 \
  | 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: 368221179672021e0add37ce48ed7f66b5b07395d88da780df1aefe7ee29b39a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a29193abb30720c35e819746612ec3c8c9df9334f8958a5e62177e29aa5e6507",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-08-09T09:26:29Z",
    "title_canon_sha256": "c6b6a22b4ed0a30a1842176d8bd48306ba454023aaad2b54a9d2ac7873496b6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2060",
    "kind": "arxiv",
    "version": 1
  }
}