Pith Number

pith:JMDCH2Q4

pith:2009:JMDCH2Q4TVZHVKSADMUHM6PDH4

not attested not anchored not stored refs pending

Is the phase of plane waves an invariant?

Young-Sea Huang

arxiv:0901.3001 v1 · 2009-01-20 · physics.gen-ph · 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{JMDCH2Q4TVZHVKSADMUHM6PDH4}

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	2026-05-18T02:14:56.704129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b0623ea1c9d727aaa401b287679e33f3f574dada1b815242772118530d97daa

Aliases

arxiv: 0901.3001 · arxiv_version: 0901.3001v1 · doi: 10.48550/arxiv.0901.3001 · pith_short_12: JMDCH2Q4TVZH · pith_short_16: JMDCH2Q4TVZHVKSA · pith_short_8: JMDCH2Q4

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/JMDCH2Q4TVZHVKSADMUHM6PDH4 \
  | 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: 4b0623ea1c9d727aaa401b287679e33f3f574dada1b815242772118530d97daa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7d21820817e9cf8e6a21fca3de54aabb3d12cca74f8254fe109a0af93228ce3",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2009-01-20T08:26:45Z",
    "title_canon_sha256": "b424bce0874a8b5ca568665754582e97532ffbfc75a94f4e71b3cdfbce4be597"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.3001",
    "kind": "arxiv",
    "version": 1
  }
}