Pith Number

pith:WYKW3YPM

pith:2012:WYKW3YPMENNNCM3FNVEZQCPGYO

not attested not anchored not stored refs pending

Vacuum Kundt Waves

Alan Coley, David McNutt, Robert Milson

arxiv:1208.5027 v4 · 2012-08-24 · gr-qc · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WYKW3YPMENNNCM3FNVEZQCPGYO}

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	2026-05-18T03:34:25.303486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6156de1ec235ad133656d499809e6c3ad2292b103a6fcb217c2354eecf91923

Aliases

arxiv: 1208.5027 · arxiv_version: 1208.5027v4 · doi: 10.48550/arxiv.1208.5027 · pith_short_12: WYKW3YPMENNN · pith_short_16: WYKW3YPMENNNCM3F · pith_short_8: WYKW3YPM

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/WYKW3YPMENNNCM3FNVEZQCPGYO \
  | 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: b6156de1ec235ad133656d499809e6c3ad2292b103a6fcb217c2354eecf91923

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f680a84ab0e404a8ead38ef88d4f53435ea3516385ab0170c748d1825afc8ed",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-08-24T18:17:25Z",
    "title_canon_sha256": "42bd3538221d9a9ce1e6e467c133380bd7c5e999c564dbb2d21a4e24148a2469"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5027",
    "kind": "arxiv",
    "version": 4
  }
}