Pith Number

pith:RF3RQTEZ

pith:1995:RF3RQTEZSMDJ2V2LRG6CNLXT3W

not attested not anchored not stored refs pending

Semiclassical Density Matrix Near the Top of a Barrier

F.J.Weiper, H.Grabert, J. Ankerhold

arxiv:quant-ph/9512015 v1 · 1995-12-12 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RF3RQTEZSMDJ2V2LRG6CNLXT3W}

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	2026-05-18T01:37:53.401678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8977184c9993069d574b89bc26aef3ddaf8d6e12e6845e36688b1153877eb2aa

Aliases

arxiv: quant-ph/9512015 · arxiv_version: quant-ph/9512015v1 · doi: 10.48550/arxiv.quant-ph/9512015 · pith_short_12: RF3RQTEZSMDJ · pith_short_16: RF3RQTEZSMDJ2V2L · pith_short_8: RF3RQTEZ

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/RF3RQTEZSMDJ2V2LRG6CNLXT3W \
  | 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: 8977184c9993069d574b89bc26aef3ddaf8d6e12e6845e36688b1153877eb2aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f7c8b9f5c08a6289d0f3e65838945700ed05b5476e6bd2ec0e9539ecd40fb9f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1995-12-12T16:12:37Z",
    "title_canon_sha256": "fb5ed1e07a50558fc7399f0a8db878333dc6a5c755fd1970181a05ea35c66b9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9512015",
    "kind": "arxiv",
    "version": 1
  }
}