Pith Number

pith:4E4L4MDS

pith:2001:4E4L4MDSRKMTPIMXN7CKJZD72P

not attested not anchored not stored refs pending

From Spectral Relaxation to Quantified Decoherence

Chr. Balzer, Chr. Wunderlich, D. Rei\ss, P.E. Toschek, Th. Hannemann, W. Neuhauser

arxiv:quant-ph/0109037 v1 · 2001-09-07 · 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{4E4L4MDSRKMTPIMXN7CKJZD72P}

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	2026-05-18T04:05:47.773365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e138be30728a9937a1976fc4a4e47fd3f3300b9f35baf829cd9186ccc8924d55

Aliases

arxiv: quant-ph/0109037 · arxiv_version: quant-ph/0109037v1 · doi: 10.48550/arxiv.quant-ph/0109037 · pith_short_12: 4E4L4MDSRKMT · pith_short_16: 4E4L4MDSRKMTPIMX · pith_short_8: 4E4L4MDS

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/4E4L4MDSRKMTPIMXN7CKJZD72P \
  | 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: e138be30728a9937a1976fc4a4e47fd3f3300b9f35baf829cd9186ccc8924d55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4a4589f2a119549ce6dcecf32c17614ef7f86b137d5ec1c075b4b9743370e8c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-09-07T16:39:20Z",
    "title_canon_sha256": "d7699bd1f75d7b367389abbbe22383d548a665f5c9aacb498d02930011fd1f34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0109037",
    "kind": "arxiv",
    "version": 1
  }
}