Pith Number

pith:725EIP7T

pith:2012:725EIP7TNON7XCEHFLIDKI5FUP

not attested not anchored not stored refs pending

Beam Dynamics in a Double-Channel Waveguide with Gain and Loss

Lu Li, Pengfei Li, Rujiang Li

arxiv:1209.2762 v1 · 2012-09-13 · 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{725EIP7TNON7XCEHFLIDKI5FUP}

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	2026-05-18T02:00:02.861310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

feba443ff36b9bfb88872ad03523a5a3cff27121608498b5edbcd6ecf5b7b5ca

Aliases

arxiv: 1209.2762 · arxiv_version: 1209.2762v1 · doi: 10.48550/arxiv.1209.2762 · pith_short_12: 725EIP7TNON7 · pith_short_16: 725EIP7TNON7XCEH · pith_short_8: 725EIP7T

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/725EIP7TNON7XCEHFLIDKI5FUP \
  | 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: feba443ff36b9bfb88872ad03523a5a3cff27121608498b5edbcd6ecf5b7b5ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85119bccdb1c17733797b0f8afccadc25ab95e0702e99942356da3b38a35ad09",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-09-13T01:59:14Z",
    "title_canon_sha256": "81f04e75785f89edb6325279e9276165ea8c20aa692c92099a0ea3f8a220e320"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2762",
    "kind": "arxiv",
    "version": 1
  }
}