Pith Number

pith:MQJFGKZJ

pith:2026:MQJFGKZJP42DPYMSJFGCTTGRHG

not attested not anchored not stored refs pending

Pushing and Pulling Ponderomotive Forces in Wavepackets and Beat Waves

Yury Bliokh

arxiv:2602.03252 v2 · 2026-02-03 · 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{MQJFGKZJP42DPYMSJFGCTTGRHG}

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	2026-05-20T00:03:04.432068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6412532b297f3437e192494c29ccd1398132d7af649a6ace26c7f9993f99950b

Aliases

arxiv: 2602.03252 · arxiv_version: 2602.03252v2 · doi: 10.48550/arxiv.2602.03252 · pith_short_12: MQJFGKZJP42D · pith_short_16: MQJFGKZJP42DPYMS · pith_short_8: MQJFGKZJ

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/MQJFGKZJP42DPYMSJFGCTTGRHG \
  | 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: 6412532b297f3437e192494c29ccd1398132d7af649a6ace26c7f9993f99950b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b92b2f9e1f12de45be4e378d72a6f7ed0436d5a15acd67a91c357814508b3d2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-02-03T08:36:54Z",
    "title_canon_sha256": "5e16a42b806e2e633ded05d9ffa8fe2da430ce8e7ac40b7e98dcd7a9d1878812"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.03252",
    "kind": "arxiv",
    "version": 2
  }
}