Pith Number

pith:WA7PPKDM

pith:2017:WA7PPKDMC25IWLCNKEVZWJJJYN

not attested not anchored not stored refs pending

Gaussian beams diffracting in time

Miguel A. Porras

arxiv:1709.08080 v2 · 2017-09-23 · 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{WA7PPKDMC25IWLCNKEVZWJJJYN}

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	2026-05-18T00:28:04.496844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b03ef7a86c16ba8b2c4d512b9b2529c347ea37ff73add036e7d9ffb32da30806

Aliases

arxiv: 1709.08080 · arxiv_version: 1709.08080v2 · doi: 10.48550/arxiv.1709.08080 · pith_short_12: WA7PPKDMC25I · pith_short_16: WA7PPKDMC25IWLCN · pith_short_8: WA7PPKDM

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/WA7PPKDMC25IWLCNKEVZWJJJYN \
  | 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: b03ef7a86c16ba8b2c4d512b9b2529c347ea37ff73add036e7d9ffb32da30806

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d72d97691b2d2df86b62bfe28267c8ef19787b3046f8555881614607e030a803",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2017-09-23T17:27:29Z",
    "title_canon_sha256": "ede0f3866f6f3f02887b0fad3139408329400cf7fb6d8eb9536b2fbd932d476b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08080",
    "kind": "arxiv",
    "version": 2
  }
}