Pith Number

pith:TBT7BM6K

pith:2002:TBT7BM6KXBXPW6LWY2YELSZJDE

not attested not anchored not stored refs pending

Effects of nonlocality in time of interactions of an atom with its surroundings on the broadening of spectral lines of atoms

Aigul A. Mutygullina, Renat Kh. Gainutdinov, Werner Scheid

arxiv:quant-ph/0210144 v1 · 2002-10-21 · 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{TBT7BM6KXBXPW6LWY2YELSZJDE}

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	2026-07-04T16:36:11.771467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9867f0b3cab86efb7976c6b045cb291918719e489b87ad9e390a80d97582d1b3

Aliases

arxiv: quant-ph/0210144 · arxiv_version: quant-ph/0210144v1 · doi: 10.48550/arxiv.quant-ph/0210144 · pith_short_12: TBT7BM6KXBXP · pith_short_16: TBT7BM6KXBXPW6LW · pith_short_8: TBT7BM6K

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/TBT7BM6KXBXPW6LWY2YELSZJDE \
  | 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: 9867f0b3cab86efb7976c6b045cb291918719e489b87ad9e390a80d97582d1b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "732a40ec5b4222e2121422b0c572d8de37d91aff9cc107192e3b037c37a6caa9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-10-21T12:30:09Z",
    "title_canon_sha256": "9383431a77245eacbcca949325aed4c9376891acafd904d21067fd00ccd1648f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0210144",
    "kind": "arxiv",
    "version": 1
  }
}