Pith Number

pith:VVTOYHQO

pith:2011:VVTOYHQOP3FQON2H3BT5SRN7ZU

not attested not anchored not stored refs pending

Steady-State Ab Initio Laser Theory for N-level Lasers

A. Douglas Stone, Alexander Cerjan, Li Ge, Yidong Chong

arxiv:1111.2279 v1 · 2011-11-09 · 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{VVTOYHQOP3FQON2H3BT5SRN7ZU}

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	2026-05-18T01:59:43.067996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad66ec1e0e7ecb073747d867d945bfcd1c8fea0c7847fe59bad6bffe64facd13

Aliases

arxiv: 1111.2279 · arxiv_version: 1111.2279v1 · doi: 10.48550/arxiv.1111.2279 · pith_short_12: VVTOYHQOP3FQ · pith_short_16: VVTOYHQOP3FQON2H · pith_short_8: VVTOYHQO

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/VVTOYHQOP3FQON2H3BT5SRN7ZU \
  | 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: ad66ec1e0e7ecb073747d867d945bfcd1c8fea0c7847fe59bad6bffe64facd13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f61b62d7e619236946bef4edb46ddf0acbfde684f6447f715236ddfaff43ba27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-11-09T17:20:14Z",
    "title_canon_sha256": "180b70d60593bcfb8f7ac68ae443f189386df0e0fb7c953dc9425e78ac9c72a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2279",
    "kind": "arxiv",
    "version": 1
  }
}