Pith Number

pith:I64TKEXA

pith:1999:I64TKEXAKE7ESY6BCWVK374NVH

not attested not anchored not stored refs pending

Phases of Wave Functions and Level Repulsion

W.D. Heiss

arxiv:quant-ph/9901023 v1 · 1999-01-11 · 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{I64TKEXAKE7ESY6BCWVK374NVH}

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	2026-07-04T16:15:39.218171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47b93512e0513e4963c115aaadff8da9e45bddc060a812edc52ba869f3ad8d9d

Aliases

arxiv: quant-ph/9901023 · arxiv_version: quant-ph/9901023v1 · doi: 10.48550/arxiv.quant-ph/9901023 · pith_short_12: I64TKEXAKE7E · pith_short_16: I64TKEXAKE7ESY6B · pith_short_8: I64TKEXA

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/I64TKEXAKE7ESY6BCWVK374NVH \
  | 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: 47b93512e0513e4963c115aaadff8da9e45bddc060a812edc52ba869f3ad8d9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0892cb030c915672cce2f59bcd160038f8b56e56a3530821eb9d522880f3959",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-01-11T10:17:19Z",
    "title_canon_sha256": "3b39fb2fdcc4ec564e571e5afa3da3a23fa4315b1acbb82b334d68100a5aea13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9901023",
    "kind": "arxiv",
    "version": 1
  }
}