Pith Number

pith:Q4DG6EFM

pith:2013:Q4DG6EFMMGU7NP6VUG4T23JKNM

not attested not anchored not stored refs pending

Scalable numerical approach for the steady-state ab initio laser theory

A. Cerjan, A.D. Stone, D. Liu, J.M. Melenk, K.G. Makris, L. Ge, M. Liertzer, S. Esterhazy, S.G. Johnson, S. Rotter

arxiv:1312.2488 v2 · 2013-12-09 · 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{Q4DG6EFMMGU7NP6VUG4T23JKNM}

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	2026-05-18T02:45:23.242931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87066f10ac61a9f6bfd5a1b93d6d2a6b3d5b05529b1b937994aed37974f37bb7

Aliases

arxiv: 1312.2488 · arxiv_version: 1312.2488v2 · doi: 10.48550/arxiv.1312.2488 · pith_short_12: Q4DG6EFMMGU7 · pith_short_16: Q4DG6EFMMGU7NP6V · pith_short_8: Q4DG6EFM

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/Q4DG6EFMMGU7NP6VUG4T23JKNM \
  | 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: 87066f10ac61a9f6bfd5a1b93d6d2a6b3d5b05529b1b937994aed37974f37bb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bec0a2faabc95986f6bed0c9fd888cccedfe79b1220329ea86935d958a55977",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-12-09T16:09:17Z",
    "title_canon_sha256": "8a4f08128ed496d5e74a783349015fa326c0ed3d10fa843de31904ea4fc56d33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2488",
    "kind": "arxiv",
    "version": 2
  }
}