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Pith Number

pith:AB53HZZX

pith:2012:AB53HZZXQ6XR3JLOJULT5B5PYJ
not attested not anchored not stored refs pending

An analogy between the thermal equilibration of a gas mixture and transverse relaxation in magnetic resonance spectroscopy

Daniel M. Packwood

arxiv:1205.1265 v1 · 2012-05-07 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AB53HZZXQ6XR3JLOJULT5B5PYJ}

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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 2026-05-18T03:56:11.648252Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

007bb3e73787af1da56e4d173e87afc24d7644f30d01e8188f741f2c1f4deca9

Aliases

arxiv: 1205.1265 · arxiv_version: 1205.1265v1 · doi: 10.48550/arxiv.1205.1265 · pith_short_12: AB53HZZXQ6XR · pith_short_16: AB53HZZXQ6XR3JLO · pith_short_8: AB53HZZX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AB53HZZXQ6XR3JLOJULT5B5PYJ \
  | 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: 007bb3e73787af1da56e4d173e87afc24d7644f30d01e8188f741f2c1f4deca9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "23c4f5ca8b7d89d4c50f133b64d124a4350dffcd6521b09de521d59d9ff4de3b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-05-07T01:25:10Z",
    "title_canon_sha256": "baeac8a5909f180be91ddb17237cd6b5fff772ae1ddf9a4321c04f65d33a39d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1265",
    "kind": "arxiv",
    "version": 1
  }
}