Pith Number

pith:2L7XI4XE

pith:1997:2L7XI4XEJRPIWVR7KAKHV7IFKA

not attested not anchored not stored refs pending

Average Number of Coherent Modes for Pulse Random Fields

Alexander M. Lazaruk, Belarus), Belarus Academy of Sciences, Minsk, Nikolay V. Karelin (Institute of Physics

arxiv:physics/9712011 v1 · 1997-12-04 · physics.optics · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2L7XI4XEJRPIWVR7KAKHV7IFKA}

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	2026-05-18T01:38:04.475897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2ff7472e44c5e8b563f50147afd0550316cb36065feda770736115354187df7

Aliases

arxiv: physics/9712011 · arxiv_version: physics/9712011v1 · doi: 10.48550/arxiv.physics/9712011 · pith_short_12: 2L7XI4XEJRPI · pith_short_16: 2L7XI4XEJRPIWVR7 · pith_short_8: 2L7XI4XE

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/2L7XI4XEJRPIWVR7KAKHV7IFKA \
  | 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: d2ff7472e44c5e8b563f50147afd0550316cb36065feda770736115354187df7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79480ad99a6122da6c617f450ec3302aad9ee8af86dab9b3441e5872a7b6f459",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "physics.optics",
    "submitted_at": "1997-12-04T17:48:20Z",
    "title_canon_sha256": "b5ca3b769509974d1f644f7ed86e0f28b3d7b3b8e2c78d81270bf78c1e7394b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/9712011",
    "kind": "arxiv",
    "version": 1
  }
}