Pith Number

pith:FHOW5MKR

pith:2001:FHOW5MKRDSLOUT6ZCBAC33MNZN

not attested not anchored not stored refs pending

Wannier threshold law for two electron escape in the presence of an external electric field

Bruno Eckhardt, Krzysztof Sacha

arxiv:quant-ph/0109143 v1 · 2001-09-27 · quant-ph · nlin.CD · physics.atom-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{FHOW5MKRDSLOUT6ZCBAC33MNZN}

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	2026-07-04T16:29:05.283945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29dd6eb1511c96ea4fd910402ded8dcb55328ebe72fb92712ae55dcec53616af

Aliases

arxiv: quant-ph/0109143 · arxiv_version: quant-ph/0109143v1 · doi: 10.48550/arxiv.quant-ph/0109143 · pith_short_12: FHOW5MKRDSLO · pith_short_16: FHOW5MKRDSLOUT6Z · pith_short_8: FHOW5MKR

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/FHOW5MKRDSLOUT6ZCBAC33MNZN \
  | 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: 29dd6eb1511c96ea4fd910402ded8dcb55328ebe72fb92712ae55dcec53616af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11eda36242cbcf6cb32820b242165c3d32553e54837232071871d014bd6f0b94",
    "cross_cats_sorted": [
      "nlin.CD",
      "physics.atom-ph"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-09-27T13:06:23Z",
    "title_canon_sha256": "7bbd5571a977e5a7ede9b5ca623894ac3b64f9af6e7afeaf369a6ece6be394f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0109143",
    "kind": "arxiv",
    "version": 1
  }
}