Pith Number

pith:BJ7HZ2R2

pith:2012:BJ7HZ2R2INSF43XMAGKL4LFZOU

not attested not anchored not stored refs pending

Entropy evolution law in a laser process

Hong-yi Fan, Jun-Hua Chen

arxiv:1209.4149 v2 · 2012-09-19 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BJ7HZ2R2INSF43XMAGKL4LFZOU}

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	2026-05-18T03:07:52.818571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a7e7cea3a43645e6eec0194be2cb9753d57b44fc6ab4e75c249ae1404929418

Aliases

arxiv: 1209.4149 · arxiv_version: 1209.4149v2 · doi: 10.48550/arxiv.1209.4149 · pith_short_12: BJ7HZ2R2INSF · pith_short_16: BJ7HZ2R2INSF43XM · pith_short_8: BJ7HZ2R2

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/BJ7HZ2R2INSF43XMAGKL4LFZOU \
  | 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: 0a7e7cea3a43645e6eec0194be2cb9753d57b44fc6ab4e75c249ae1404929418

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a91983bcda96e6834b1672f1e158dcb87db053247c98d887760c223141a7d6f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-09-19T05:01:45Z",
    "title_canon_sha256": "6cf8ed52319f0f9f71b80adf511fbf66d6f2761efa8be6def25c8082dd4bfce6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4149",
    "kind": "arxiv",
    "version": 2
  }
}