Pith Number

pith:WWQ7M2SV

pith:1994:WWQ7M2SVPJCUTXFJ2AWYYHY3V4

not attested not anchored not stored refs pending

Geometry of the transport equation in multicomponent WKB approximations

A. Weinstein, C. Emmrich

arxiv:hep-th/9412148 v1 · 1994-12-16 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WWQ7M2SVPJCUTXFJ2AWYYHY3V4}

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	2026-05-18T01:38:40.986213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5a1f66a557a4549dca9d02d8c1f1baf02c371c4065d430af68f5b7036a2defe

Aliases

arxiv: hep-th/9412148 · arxiv_version: hep-th/9412148v1 · doi: 10.48550/arxiv.hep-th/9412148 · pith_short_12: WWQ7M2SVPJCU · pith_short_16: WWQ7M2SVPJCUTXFJ · pith_short_8: WWQ7M2SV

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/WWQ7M2SVPJCUTXFJ2AWYYHY3V4 \
  | 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: b5a1f66a557a4549dca9d02d8c1f1baf02c371c4065d430af68f5b7036a2defe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68aac1e2565c938c3ce484825aa160708e4d8a81529695d19c0c5750f8b0dc3c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1994-12-16T18:15:57Z",
    "title_canon_sha256": "7f2ecc612632f9fcd52e9d3ad520aafa1e4238e5cc18bd1f3a652b14611e5632"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9412148",
    "kind": "arxiv",
    "version": 1
  }
}